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108,108

108,108 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 Arithmetic Number Evil Number Flippable Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
801,801
Flips to (rotate 180°)
801,801
Recamán's sequence
a(251,216) = 108,108
Square (n²)
11,687,339,664
Cube (n³)
1,263,494,916,395,712
Divisor count
96
σ(n) — sum of divisors
376,320
φ(n) — Euler's totient
25,920
Sum of prime factors
44

Primality

Prime factorization: 2 2 × 3 3 × 7 × 11 × 13

Nearest primes: 108,107 (−1) · 108,109 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 11 · 12 · 13 · 14 · 18 · 21 · 22 · 26 · 27 · 28 · 33 · 36 · 39 · 42 · 44 · 52 · 54 · 63 · 66 · 77 · 78 · 84 · 91 · 99 · 108 · 117 · 126 · 132 · 143 · 154 · 156 · 182 · 189 · 198 · 231 · 234 · 252 · 273 · 286 · 297 · 308 · 351 · 364 · 378 · 396 · 429 · 462 · 468 · 546 · 572 · 594 · 693 · 702 · 756 · 819 · 858 · 924 · 1001 · 1092 · 1188 · 1287 · 1386 · 1404 · 1638 · 1716 · 2002 · 2079 · 2457 · 2574 · 2772 · 3003 · 3276 · 3861 · 4004 · 4158 · 4914 · 5148 · 6006 · 7722 · 8316 · 9009 · 9828 · 12012 · 15444 · 18018 · 27027 · 36036 · 54054 (half) · 108108
Aliquot sum (sum of proper divisors): 268,212
Factor pairs (a × b = 108,108)
1 × 108108
2 × 54054
3 × 36036
4 × 27027
6 × 18018
7 × 15444
9 × 12012
11 × 9828
12 × 9009
13 × 8316
14 × 7722
18 × 6006
21 × 5148
22 × 4914
26 × 4158
27 × 4004
28 × 3861
33 × 3276
36 × 3003
39 × 2772
42 × 2574
44 × 2457
52 × 2079
54 × 2002
63 × 1716
66 × 1638
77 × 1404
78 × 1386
84 × 1287
91 × 1188
99 × 1092
108 × 1001
117 × 924
126 × 858
132 × 819
143 × 756
154 × 702
156 × 693
182 × 594
189 × 572
198 × 546
231 × 468
234 × 462
252 × 429
273 × 396
286 × 378
297 × 364
308 × 351
First multiples
108,108 · 216,216 (double) · 324,324 · 432,432 · 540,540 · 648,648 · 756,756 · 864,864 · 972,972 · 1,081,080

Sums & aliquot sequence

As consecutive integers: 36,035 + 36,036 + 36,037 15,441 + 15,442 + … + 15,447 13,510 + 13,511 + … + 13,517 12,008 + 12,009 + … + 12,016
Aliquot sequence: 108,108 268,212 477,260 691,012 841,148 994,756 994,812 1,865,220 4,104,828 8,966,412 22,404,564 48,615,840 163,138,248 390,522,132 935,008,620 2,457,139,860 6,352,202,220 — unresolved within range

Representations

In words
one hundred eight thousand one hundred eight
Ordinal
108108th
Binary
11010011001001100
Octal
323114
Hexadecimal
0x1A64C
Base64
AaZM
One's complement
4,294,859,187 (32-bit)
In other bases
ternary (3) 12111022000
quaternary (4) 122121030
quinary (5) 11424413
senary (6) 2152300
septenary (7) 630120
nonary (9) 174260
undecimal (11) 74250
duodecimal (12) 52690
tridecimal (13) 3a290
tetradecimal (14) 2b580
pentadecimal (15) 22073

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρηρηʹ
Mayan (base 20)
𝋭·𝋪·𝋥·𝋨
Chinese
一十萬八千一百零八
Chinese (financial)
壹拾萬捌仟壹佰零捌
In other modern scripts
Eastern Arabic ١٠٨١٠٨ Devanagari १०८१०८ Bengali ১০৮১০৮ Tamil ௧௦௮௧௦௮ Thai ๑๐๘๑๐๘ Tibetan ༡༠༨༡༠༨ Khmer ១០៨១០៨ Lao ໑໐໘໑໐໘ Burmese ၁၀၈၁၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108108, here are decompositions:

  • 19 + 108089 = 108108
  • 29 + 108079 = 108108
  • 47 + 108061 = 108108
  • 67 + 108041 = 108108
  • 71 + 108037 = 108108
  • 97 + 108011 = 108108
  • 101 + 108007 = 108108
  • 109 + 107999 = 108108

Showing the first eight; more decompositions exist.

Hex color
#01A64C
RGB(1, 166, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.166.76.

Address
0.1.166.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.166.76

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 108,108 and was likely granted around 1870.

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

Position in π

The digit sequence 108108 first appears in π at position 702,913 of the decimal expansion (the 702,913ordinal-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.