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100,164

100,164 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 Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
461,001
Square (n²)
10,032,826,896
Cube (n³)
1,004,928,073,210,944
Divisor count
24
σ(n) — sum of divisors
247,968
φ(n) — Euler's totient
31,360
Sum of prime factors
515

Primality

Prime factorization: 2 2 × 3 × 17 × 491

Nearest primes: 100,153 (−11) · 100,169 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 17 · 34 · 51 · 68 · 102 · 204 · 491 · 982 · 1473 · 1964 · 2946 · 5892 · 8347 · 16694 · 25041 · 33388 · 50082 (half) · 100164
Aliquot sum (sum of proper divisors): 147,804
Factor pairs (a × b = 100,164)
1 × 100164
2 × 50082
3 × 33388
4 × 25041
6 × 16694
12 × 8347
17 × 5892
34 × 2946
51 × 1964
68 × 1473
102 × 982
204 × 491
First multiples
100,164 · 200,328 (double) · 300,492 · 400,656 · 500,820 · 600,984 · 701,148 · 801,312 · 901,476 · 1,001,640

Sums & aliquot sequence

As consecutive integers: 33,387 + 33,388 + 33,389 12,517 + 12,518 + … + 12,524 5,884 + 5,885 + … + 5,900 4,162 + 4,163 + … + 4,185
Aliquot sequence: 100,164 147,804 203,316 271,116 456,156 696,996 1,159,404 1,582,356 2,237,964 3,010,356 4,599,246 4,599,258 4,599,270 8,281,962 11,043,162 15,386,598 22,353,786 — unresolved within range

Representations

In words
one hundred thousand one hundred sixty-four
Ordinal
100164th
Binary
11000011101000100
Octal
303504
Hexadecimal
0x18744
Base64
AYdE
One's complement
4,294,867,131 (32-bit)
In other bases
ternary (3) 12002101210
quaternary (4) 120131010
quinary (5) 11201124
senary (6) 2051420
septenary (7) 565011
nonary (9) 162353
undecimal (11) 69289
duodecimal (12) 49b70
tridecimal (13) 3678c
tetradecimal (14) 28708
pentadecimal (15) 1ea29

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρρξδʹ
Mayan (base 20)
𝋬·𝋪·𝋨·𝋤
Chinese
一十萬零一百六十四
Chinese (financial)
壹拾萬零壹佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٠١٦٤ Devanagari १००१६४ Bengali ১০০১৬৪ Tamil ௧௦௦௧௬௪ Thai ๑๐๐๑๖๔ Tibetan ༡༠༠༡༦༤ Khmer ១០០១៦៤ Lao ໑໐໐໑໖໔ Burmese ၁၀၀၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100164, here are decompositions:

  • 11 + 100153 = 100164
  • 13 + 100151 = 100164
  • 61 + 100103 = 100164
  • 107 + 100057 = 100164
  • 173 + 99991 = 100164
  • 193 + 99971 = 100164
  • 241 + 99923 = 100164
  • 257 + 99907 = 100164

Showing the first eight; more decompositions exist.

Unicode codepoint
𘝄
Tangut Ideograph-18744
U+18744
Other letter (Lo)

UTF-8 encoding: F0 98 9D 84 (4 bytes).

Hex color
#018744
RGB(1, 135, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.135.68.

Address
0.1.135.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.135.68

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 100,164 and was likely granted around 1870.

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

Position in π

The digit sequence 100164 first appears in π at position 41,631 of the decimal expansion (the 41,631ordinal-suffix:st 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.