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108,961

108,961 is a prime, odd.

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.).
Arithmetic Number Cube-Free Deficient Number Evil Number Flippable Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
169,801
Flips to (rotate 180°)
196,801
Square (n²)
11,872,499,521
Cube (n³)
1,293,639,420,307,681
Divisor count
2
σ(n) — sum of divisors
108,962
φ(n) — Euler's totient
108,960

Primality

108,961 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 108961
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 108,961)
1 × 108961
First multiples
108,961 · 217,922 (double) · 326,883 · 435,844 · 544,805 · 653,766 · 762,727 · 871,688 · 980,649 · 1,089,610

Sums & aliquot sequence

As a sum of two squares: 81² + 320²
As consecutive integers: 54,480 + 54,481

Continued fraction of √n

√108,961 = [330; (10, 1, 4, 1, 1, 2, 4, 1, 7, 1, 81, 1, 1, 1, 3, 43, 1, 2, 1, 5, 5, 41, 14, 1, …)]

Representations

In words
one hundred eight thousand nine hundred sixty-one
Ordinal
108961st
Binary
11010100110100001
Octal
324641
Hexadecimal
0x1A9A1
Base64
Aamh
One's complement
4,294,858,334 (32-bit)
Scientific notation
1.08961 × 10⁵
In other bases
ternary (3) 12112110121
quaternary (4) 122212201
quinary (5) 11441321
senary (6) 2200241
septenary (7) 632446
nonary (9) 175417
undecimal (11) 74956
duodecimal (12) 53081
tridecimal (13) 3a798
tetradecimal (14) 2b9cd
pentadecimal (15) 22441
Palindromic in base 16

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρηϡξαʹ
Mayan (base 20)
𝋭·𝋬·𝋨·𝋡
Chinese
一十萬八千九百六十一
Chinese (financial)
壹拾萬捌仟玖佰陸拾壹
In other modern scripts
Eastern Arabic ١٠٨٩٦١ Devanagari १०८९६१ Bengali ১০৮৯৬১ Tamil ௧௦௮௯௬௧ Thai ๑๐๘๙๖๑ Tibetan ༡༠༨༩༦༡ Khmer ១០៨៩៦១ Lao ໑໐໘໙໖໑ Burmese ၁၀၈၉၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 108959, sexy with 108967.

Hex color
#01A9A1
RGB(1, 169, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.169.161.

Address
0.1.169.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.169.161

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 108,961 and was likely granted around 1871.

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

Position in π

The digit sequence 108961 first appears in π at position 427,474 of the decimal expansion (the 427,474ordinal-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.