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108,164

108,164 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 Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
461,801
Recamán's sequence
a(251,104) = 108,164
Square (n²)
11,699,450,896
Cube (n³)
1,265,459,406,714,944
Divisor count
12
σ(n) — sum of divisors
216,384
φ(n) — Euler's totient
46,344
Sum of prime factors
3,874

Primality

Prime factorization: 2 2 × 7 × 3863

Nearest primes: 108,161 (−3) · 108,179 (+15)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 3863 · 7726 · 15452 · 27041 · 54082 (half) · 108164
Aliquot sum (sum of proper divisors): 108,220
Factor pairs (a × b = 108,164)
1 × 108164
2 × 54082
4 × 27041
7 × 15452
14 × 7726
28 × 3863
First multiples
108,164 · 216,328 (double) · 324,492 · 432,656 · 540,820 · 648,984 · 757,148 · 865,312 · 973,476 · 1,081,640

Sums & aliquot sequence

As consecutive integers: 15,449 + 15,450 + … + 15,455 13,517 + 13,518 + … + 13,524 1,904 + 1,905 + … + 1,959
Aliquot sequence: 108,164 108,220 151,844 211,036 211,092 363,468 606,004 660,044 780,724 780,780 2,170,644 3,617,964 7,083,636 12,202,764 20,920,620 46,026,708 87,679,788 — unresolved within range

Representations

In words
one hundred eight thousand one hundred sixty-four
Ordinal
108164th
Binary
11010011010000100
Octal
323204
Hexadecimal
0x1A684
Base64
AaaE
One's complement
4,294,859,131 (32-bit)
In other bases
ternary (3) 12111101002
quaternary (4) 122122010
quinary (5) 11430124
senary (6) 2152432
septenary (7) 630230
nonary (9) 174332
undecimal (11) 742a1
duodecimal (12) 52718
tridecimal (13) 3a304
tetradecimal (14) 2b5c0
pentadecimal (15) 220ae

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρηρξδʹ
Mayan (base 20)
𝋭·𝋪·𝋨·𝋤
Chinese
一十萬八千一百六十四
Chinese (financial)
壹拾萬捌仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٨١٦٤ Devanagari १०८१६४ Bengali ১০৮১৬৪ Tamil ௧௦௮௧௬௪ Thai ๑๐๘๑๖๔ Tibetan ༡༠༨༡༦༤ Khmer ១០៨១៦៤ Lao ໑໐໘໑໖໔ Burmese ၁၀၈၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108164, here are decompositions:

  • 3 + 108161 = 108164
  • 37 + 108127 = 108164
  • 103 + 108061 = 108164
  • 127 + 108037 = 108164
  • 151 + 108013 = 108164
  • 157 + 108007 = 108164
  • 193 + 107971 = 108164
  • 223 + 107941 = 108164

Showing the first eight; more decompositions exist.

Hex color
#01A684
RGB(1, 166, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.166.132.

Address
0.1.166.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.166.132

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 108,164 and was likely granted around 1870.

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000108164
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 108164 first appears in π at position 683,407 of the decimal expansion (the 683,407ordinal-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.