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100,968

100,968 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 Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
869,001
Flips to (rotate 180°)
896,001
Square (n²)
10,194,537,024
Cube (n³)
1,029,322,014,239,232
Divisor count
32
σ(n) — sum of divisors
288,960
φ(n) — Euler's totient
28,800
Sum of prime factors
617

Primality

Prime factorization: 2 3 × 3 × 7 × 601

Nearest primes: 100,957 (−11) · 100,981 (+13)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 21 · 24 · 28 · 42 · 56 · 84 · 168 · 601 · 1202 · 1803 · 2404 · 3606 · 4207 · 4808 · 7212 · 8414 · 12621 · 14424 · 16828 · 25242 · 33656 · 50484 (half) · 100968
Aliquot sum (sum of proper divisors): 187,992
Factor pairs (a × b = 100,968)
1 × 100968
2 × 50484
3 × 33656
4 × 25242
6 × 16828
7 × 14424
8 × 12621
12 × 8414
14 × 7212
21 × 4808
24 × 4207
28 × 3606
42 × 2404
56 × 1803
84 × 1202
168 × 601
First multiples
100,968 · 201,936 (double) · 302,904 · 403,872 · 504,840 · 605,808 · 706,776 · 807,744 · 908,712 · 1,009,680

Sums & aliquot sequence

As consecutive integers: 33,655 + 33,656 + 33,657 14,421 + 14,422 + … + 14,427 6,303 + 6,304 + … + 6,318 4,798 + 4,799 + … + 4,818
Aliquot sequence: 100,968 187,992 395,448 593,232 1,031,664 1,633,592 1,482,208 2,116,352 2,715,664 3,297,840 9,368,016 18,903,984 34,372,368 72,986,832 140,069,968 131,315,626 80,809,658 — unresolved within range

Continued fraction of √n

√100,968 = [317; (1, 3, 13, 3, 1, 2, 5, 1, 2, 1, 25, 1, 2, 1, 5, 2, 1, 3, 13, 3, 1, 634)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand nine hundred sixty-eight
Ordinal
100968th
Binary
11000101001101000
Octal
305150
Hexadecimal
0x18A68
Base64
AYpo
One's complement
4,294,866,327 (32-bit)
Scientific notation
1.00968 × 10⁵
In other bases
ternary (3) 12010111120
quaternary (4) 120221220
quinary (5) 11212333
senary (6) 2055240
septenary (7) 600240
nonary (9) 163446
undecimal (11) 6994a
duodecimal (12) 4a520
tridecimal (13) 36c5a
tetradecimal (14) 28b20
pentadecimal (15) 1edb3

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϡξηʹ
Mayan (base 20)
𝋬·𝋬·𝋨·𝋨
Chinese
一十萬零九百六十八
Chinese (financial)
壹拾萬零玖佰陸拾捌
In other modern scripts
Eastern Arabic ١٠٠٩٦٨ Devanagari १००९६८ Bengali ১০০৯৬৮ Tamil ௧௦௦௯௬௮ Thai ๑๐๐๙๖๘ Tibetan ༡༠༠༩༦༨ Khmer ១០០៩៦៨ Lao ໑໐໐໙໖໘ Burmese ၁၀၀၉၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100968, here are decompositions:

  • 11 + 100957 = 100968
  • 31 + 100937 = 100968
  • 37 + 100931 = 100968
  • 41 + 100927 = 100968
  • 61 + 100907 = 100968
  • 139 + 100829 = 100968
  • 157 + 100811 = 100968
  • 167 + 100801 = 100968

Showing the first eight; more decompositions exist.

Unicode codepoint
𘩨
Tangut Component-617
U+18A68
Other letter (Lo)

UTF-8 encoding: F0 98 A9 A8 (4 bytes).

Hex color
#018A68
RGB(1, 138, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.104.

Address
0.1.138.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.104

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 100,968 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
000100968
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.