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108,810

108,810 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 Flippable Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
18,801
Flips to (rotate 180°)
18,801
Recamán's sequence
a(80,479) = 108,810
Square (n²)
11,839,616,100
Cube (n³)
1,288,268,627,841,000
Divisor count
64
σ(n) — sum of divisors
322,560
φ(n) — Euler's totient
25,920
Sum of prime factors
60

Primality

Prime factorization: 2 × 3 3 × 5 × 13 × 31

Nearest primes: 108,803 (−7) · 108,821 (+11)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 13 · 15 · 18 · 26 · 27 · 30 · 31 · 39 · 45 · 54 · 62 · 65 · 78 · 90 · 93 · 117 · 130 · 135 · 155 · 186 · 195 · 234 · 270 · 279 · 310 · 351 · 390 · 403 · 465 · 558 · 585 · 702 · 806 · 837 · 930 · 1170 · 1209 · 1395 · 1674 · 1755 · 2015 · 2418 · 2790 · 3510 · 3627 · 4030 · 4185 · 6045 · 7254 · 8370 · 10881 · 12090 · 18135 · 21762 · 36270 · 54405 (half) · 108810
Aliquot sum (sum of proper divisors): 213,750
Factor pairs (a × b = 108,810)
1 × 108810
2 × 54405
3 × 36270
5 × 21762
6 × 18135
9 × 12090
10 × 10881
13 × 8370
15 × 7254
18 × 6045
26 × 4185
27 × 4030
30 × 3627
31 × 3510
39 × 2790
45 × 2418
54 × 2015
62 × 1755
65 × 1674
78 × 1395
90 × 1209
93 × 1170
117 × 930
130 × 837
135 × 806
155 × 702
186 × 585
195 × 558
234 × 465
270 × 403
279 × 390
310 × 351
First multiples
108,810 · 217,620 (double) · 326,430 · 435,240 · 544,050 · 652,860 · 761,670 · 870,480 · 979,290 · 1,088,100

Sums & aliquot sequence

As consecutive integers: 36,269 + 36,270 + 36,271 27,201 + 27,202 + 27,203 + 27,204 21,760 + 21,761 + 21,762 + 21,763 + 21,764 12,086 + 12,087 + … + 12,094
Aliquot sequence: 108,810 213,750 395,430 712,650 1,055,094 1,107,066 1,107,078 1,486,458 1,816,902 2,147,682 2,296,158 2,296,170 3,873,942 4,624,002 5,394,708 10,733,292 16,502,644 — unresolved within range

Continued fraction of √n

√108,810 = [329; (1, 6, 3, 72, 1, 64, 1, 72, 3, 6, 1, 658)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred eight thousand eight hundred ten
Ordinal
108810th
Binary
11010100100001010
Octal
324412
Hexadecimal
0x1A90A
Base64
AakK
One's complement
4,294,858,485 (32-bit)
Scientific notation
1.0881 × 10⁵
In other bases
ternary (3) 12112021000
quaternary (4) 122210022
quinary (5) 11440220
senary (6) 2155430
septenary (7) 632142
nonary (9) 175230
undecimal (11) 74829
duodecimal (12) 52b76
tridecimal (13) 3a6b0
tetradecimal (14) 2b922
pentadecimal (15) 22390

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆
Greek (Milesian)
͵ρηωιʹ
Mayan (base 20)
𝋭·𝋬·𝋠·𝋪
Chinese
一十萬八千八百一十
Chinese (financial)
壹拾萬捌仟捌佰壹拾
In other modern scripts
Eastern Arabic ١٠٨٨١٠ Devanagari १०८८१० Bengali ১০৮৮১০ Tamil ௧௦௮௮௧௦ Thai ๑๐๘๘๑๐ Tibetan ༡༠༨༨༡༠ Khmer ១០៨៨១០ Lao ໑໐໘໘໑໐ Burmese ၁၀၈၈၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108810, here are decompositions:

  • 7 + 108803 = 108810
  • 11 + 108799 = 108810
  • 17 + 108793 = 108810
  • 19 + 108791 = 108810
  • 41 + 108769 = 108810
  • 59 + 108751 = 108810
  • 71 + 108739 = 108810
  • 83 + 108727 = 108810

Showing the first eight; more decompositions exist.

Hex color
#01A90A
RGB(1, 169, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.169.10.

Address
0.1.169.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.169.10

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 108,810 and was likely granted around 1871.

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