100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 10<sup>5</sup>.

Terms for 100,000

In Bangladesh, India, Pakistan and South Asia, one hundred thousand is called a lakh, and is written as 1,00,000. The Thai, Lao, Khmer and Vietnamese languages also have separate words for this number: , , (all saen), and respectively. The Malagasy word is .

In the Netherlands, a 'ton' is a colloquialism for a denomination of 100.000 monetary units. In the guilders period a ton would denote 100.000 guilders. With the introduction of the euro, a ton would come to mean 100.000 euros. Usage is mostly limited to the financial sphere and to the buying and selling of houses. It is not used in official settings because of the ambiguity with the commonly used metric tonne. While usage is common in the Netherlands, it sees almost no use in Belgium.

In Cyrillic numerals, it is known as the legion (): 30px or 25px.

Values of 100,000

In astronomy, 100,000 metres, 100 kilometres, or 100&nbsp;km (62 miles) is the altitude at which the Fédération Aéronautique Internationale (FAI) defines spaceflight to begin.

In paleoclimatology, the 100,000-year problem is a mismatch between the temperature record and the modeled incoming solar radiation.

In the Irish language, () is a popular greeting meaning "a hundred thousand welcomes".

Selected 6-digit numbers (100,001–999,999)

100,001 to 199,999

  • 100,001 = second smallest 6-digit number
  • 100,003 = smallest 6-digit prime number
  • 100,128 = smallest triangular number with 6 digits and the 447th triangular number
  • 100,151 = twin prime with 100,153
  • 100,153 = twin prime with 100,151
  • 100,255 = Friedman number
  • 100,489 = 317<sup>2</sup>, the smallest 6-digit square
  • 101,101 = smallest palindromic Carmichael number
  • 101,723 = smallest prime number whose square is a pandigital number containing each digit from 0 to 9
  • 102,564 = The smallest parasitic number
  • 103,049 = Schröder–Hipparchus number
  • 103,680 = highly totient number
  • 103,769 = the number of combinatorial types of 5-dimensional parallelohedra
  • 103,823 = 47<sup>3</sup>, the smallest 6-digit cube and nice Friedman number (−1 + 0 + 3×8×2)<sup>3</sup>
  • 104,480 = number of non-isomorphic set-systems of weight 14.
  • 104,723 = the 9,999th prime number
  • 104,729 = the 10,000th prime number
  • 104,869 = the smallest prime number containing every non-prime digit
  • 104,976 = 18<sup>4</sup>, 3-smooth number
  • 105,071 = number of triangle-free graphs on 11 vertices
  • 105,558 = number of partitions of 46
  • 105,664 = harmonic divisor number
  • 108,968 = number of signed trees with 11 nodes
  • 109,376 = automorphic number
  • 110,880 = 30th highly composite number
  • 111,111 = repunit
  • 111,777 = smallest natural number requiring 17 syllables in American English, 19 in British English
  • 113,634 = Motzkin number for n = 14
  • 114,243/80,782 ≈ √2
  • 114,689 = prime factor of F<sub>12</sub>
  • 115,975 = Bell number
  • 116,281 = 341<sup>2</sup>, square number, centered decagonal number, 18-gonal number
  • 117,067 = first vampire prime
  • 117,649 = 7<sup>6</sup>
  • 117,800 = harmonic divisor number
  • 120,284 = Keith number
  • 120,960 = highly totient number
  • 123,717 = smallest digitally balanced number in base 7
  • 123,867 = number of trees with 18 unlabeled nodes
  • 124,754 = number of partitions of 47
  • 127,777 = smallest natural number requiring 18 syllables in American English, 20 in British English
  • 127,912 = Wedderburn–Etherington number
  • 128,981 = Starts the first prime gap sequence of 2, 4, 6, 8, 10, 12, 14
  • 129,106 = Keith number
  • 131,072 = 2<sup>17</sup>, largest determinant of a (real) {0,1}-matrix of order 15.
  • 131,361 = Leyland number
  • 134,340 = Pluto's minor planet designation
  • 135,135 = double factorial of 13
  • 135,137 = Markov number
  • 142,129 = 377<sup>2</sup>, square number, dodecagonal number
  • 142,857 = Kaprekar number, smallest cyclic number in decimal.
  • 144,000 = number with religious significance
  • 147,273 = number of partitions of 48
  • 152,381 = unique prime in base 20
  • 156,146 = Keith number
  • 161,051 = 11<sup>5</sup>
  • 161,280 = highly totient number
  • 173,525 = number of partitions of 49
  • 176,906 = number of 24-bead necklaces (turning over is allowed) where complements are equivalent
  • 177,147 = 3<sup>11</sup>
  • 177,777 = smallest natural number requiring 19 syllables in American English, 21 in British English
  • 178,478 = Leyland number
  • 183,186 = Keith number
  • 187,110 = Kaprekar number
  • 194,481 = 21<sup>4</sup>
  • 195,000 = smallest triangular number divisible by 1000
  • 195,025 = Pell number, Markov number
  • 206,098 – Large Schröder number
  • 206,265 = rounded number of arc seconds in a radian (see also parsec), since = 206,264.806...
  • 207,360 = highly totient number
  • 208,335 = the largest number to be both triangular and square pyramidal
  • 208,495 = Kaprekar number
  • 221,760 = 32nd highly composite number
  • 262,144 = 2<sup>18</sup>; exponential factorial of 4; a superperfect number
  • 262,468 = Leyland number
  • 291,400 = number of non-equivalent ways of expressing 100,000,000 as the sum of two prime numbers
  • 293,547 = Wedderburn–Etherington number
  • 294,685 = Markov number
  • 326,981 = alternating factorial
  • 329,967 = Kaprekar number
  • 333,673 = sexy prime with 333,679
  • 333,679 = sexy prime with 333,673
  • 337,500 = 2<sup>2</sup> × 3<sup>3</sup> × 5<sup>5</sup>
  • 337,594 = number of 25-bead necklaces (turning over is allowed) where complements are equivalent
  • 369,293 = smallest prime with the property that inserting a digit anywhere in the number will always yield a composite
  • 370,261 = first prime followed by a prime gap of over 100
  • 371,293 = 13<sup>5</sup>, palindromic in base 12 (15AA51<sub>12</sub>)
  • 389,305 = self-descriptive number in base 7
  • 390,313 = Kaprekar number Entering 440000 at the prompt has been used to hack games that are protected against entering commands at the prompt after the game is loaded.
  • 444,444 = repdigit
  • 456,976 = 26<sup>4</sup>
  • 461,539 = Kaprekar number
  • 510,510 = the product of the first seven prime numbers, thus the seventh primorial. It is also the product of four consecutive Fibonacci numbers&mdash;13, 21, 34, 55, the largest such sequence of any length to be also a primorial. And it is a double triangular number, the sum of all even numbers from 0 to 1428.
  • 514,229 = Fibonacci prime,
  • 518,859 = Schröder–Hipparchus number
  • 599,999 = prime number.

600,000 to 699,999

  • 604,800 = number of seconds in a week
  • 611,953 = the 50,000th prime number
  • 614,656 = 28<sup>4</sup>
  • 625,992 = Riordan number
  • 629,933 = number of reduced trees with 28 nodes
  • 694,280 = Keith number 10th colossally abundant number; 38th highly composite number, smallest number divisible by the numbers from 1 to 16
  • 725,760 = highly totient number {783,701, 783,703, 783,707, 783,719, 783,721, 783,733, 783,737, 783,743, 783,749, 783,763, 783,767, 783,779, 783,781, 783,787, 783,791, 783,793, 783,799}
  • 799,999 = prime number.

800,000 to 899,999

  • 810,000 = 30<sup>4</sup>
  • 823,065 = number of trees with 20 unlabeled nodes
  • 998,991 = largest triangular number with 6 digits and the 1413th triangular number
  • 999,983 = largest 6-digit prime number
  • 999,999 = repdigit. Rational numbers with denominators 7 and 13 have 6-digit repetends when expressed in decimal form, because 999999 is the smallest number one less than a power of 10 that is divisible by 7 and by 13.

Prime numbers

There are 9,592 primes less than 10<sup>5</sup>, where 99,991 is the largest prime number smaller than 100,000.

Increments of 10<sup>5</sup> from 100,000 through a one million have the following prime counts:

  • 8,392 primes between 100,000 and 200,000. This is a difference of 1,200 primes from the previous range.
  • 104,729 is the 10,000th prime, which is in this range.
  • 199,999 is prime.
  • 8,013 primes between 200,000 and 300,000. A difference of 379 primes from the previous range.
  • 224,737 is the 20,000th prime.
  • 7,863 primes between 300,000 and 400,000. A difference of 150 primes from the previous range.
  • 350,377 is the 30,000th prime.
  • 7,678 primes between 400,000 and 500,000. A difference of 185 primes from the previous range. Here, the difference increases by a count of 35.
  • 479,909 is the 40,000th prime.
  • 7,560 primes between 500,000 and 600,000. A difference of 118 primes from the previous range.
  • 7,560 is the twentieth highly composite number.

Notes

References