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108,900

108,900 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Abundant Number Cube-Free Evil Number Flippable Gapful Number Harshad / Niven Perfect Square Powerful Number Practical Number Weird Number

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
9,801
Flips to (rotate 180°)
6,801
Square (n²)
11,859,210,000
Cube (n³)
1,291,467,969,000,000
Square root (√n)
330
Divisor count
81
σ(n) — sum of divisors
375,193
φ(n) — Euler's totient
26,400
Sum of prime factors
42

Primality

Prime factorization: 2 2 × 3 2 × 5 2 × 11 2

Nearest primes: 108,893 (−7) · 108,907 (+7)

Divisors & multiples

All divisors (81)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 11 · 12 · 15 · 18 · 20 · 22 · 25 · 30 · 33 · 36 · 44 · 45 · 50 · 55 · 60 · 66 · 75 · 90 · 99 · 100 · 110 · 121 · 132 · 150 · 165 · 180 · 198 · 220 · 225 · 242 · 275 · 300 · 330 · 363 · 396 · 450 · 484 · 495 · 550 · 605 · 660 · 726 · 825 · 900 · 990 · 1089 · 1100 · 1210 · 1452 · 1650 · 1815 · 1980 · 2178 · 2420 · 2475 · 3025 · 3300 · 3630 · 4356 · 4950 · 5445 · 6050 · 7260 · 9075 · 9900 · 10890 · 12100 · 18150 · 21780 · 27225 · 36300 · 54450 (half) · 108900
Aliquot sum (sum of proper divisors): 266,293
Factor pairs (a × b = 108,900)
1 × 108900
2 × 54450
3 × 36300
4 × 27225
5 × 21780
6 × 18150
9 × 12100
10 × 10890
11 × 9900
12 × 9075
15 × 7260
18 × 6050
20 × 5445
22 × 4950
25 × 4356
30 × 3630
33 × 3300
36 × 3025
44 × 2475
45 × 2420
50 × 2178
55 × 1980
60 × 1815
66 × 1650
75 × 1452
90 × 1210
99 × 1100
100 × 1089
110 × 990
121 × 900
132 × 825
150 × 726
165 × 660
180 × 605
198 × 550
220 × 495
225 × 484
242 × 450
275 × 396
300 × 363
330 × 330
First multiples
108,900 · 217,800 (double) · 326,700 · 435,600 · 544,500 · 653,400 · 762,300 · 871,200 · 980,100 · 1,089,000

Sums & aliquot sequence

As a sum of two squares: 0² + 330² = 198² + 264²
As consecutive integers: 36,299 + 36,300 + 36,301 21,778 + 21,779 + 21,780 + 21,781 + 21,782 13,609 + 13,610 + … + 13,616 12,096 + 12,097 + … + 12,104
Aliquot sequence: 108,900 266,293 1 0 — terminates at zero

Representations

In words
one hundred eight thousand nine hundred
Ordinal
108900th
Binary
11010100101100100
Octal
324544
Hexadecimal
0x1A964
Base64
Aalk
One's complement
4,294,858,395 (32-bit)
Scientific notation
1.089 × 10⁵
In other bases
ternary (3) 12112101100
quaternary (4) 122211210
quinary (5) 11441100
senary (6) 2200100
septenary (7) 632331
nonary (9) 175340
undecimal (11) 74900
duodecimal (12) 53030
tridecimal (13) 3a74c
tetradecimal (14) 2b988
pentadecimal (15) 22400

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρηϡʹ
Mayan (base 20)
𝋭·𝋬·𝋥·𝋠
Chinese
一十萬八千九百
Chinese (financial)
壹拾萬捌仟玖佰
In other modern scripts
Eastern Arabic ١٠٨٩٠٠ Devanagari १०८९०० Bengali ১০৮৯০০ Tamil ௧௦௮௯௦௦ Thai ๑๐๘๙๐๐ Tibetan ༡༠༨༩༠༠ Khmer ១០៨៩០០ Lao ໑໐໘໙໐໐ Burmese ၁၀၈၉၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108900, here are decompositions:

  • 7 + 108893 = 108900
  • 13 + 108887 = 108900
  • 17 + 108883 = 108900
  • 19 + 108881 = 108900
  • 23 + 108877 = 108900
  • 31 + 108869 = 108900
  • 37 + 108863 = 108900
  • 73 + 108827 = 108900

Showing the first eight; more decompositions exist.

Hex color
#01A964
RGB(1, 169, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.169.100.

Address
0.1.169.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.169.100

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 108,900 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 108900 first appears in π at position 102,869 of the decimal expansion (the 102,869ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.