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108,821

108,821 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 Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
128,801
Recamán's sequence
a(80,501) = 108,821
Square (n²)
11,842,010,041
Cube (n³)
1,288,659,374,671,661
Divisor count
2
σ(n) — sum of divisors
108,822
φ(n) — Euler's totient
108,820

Primality

108,821 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 108821
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 108,821)
1 × 108821
First multiples
108,821 · 217,642 (double) · 326,463 · 435,284 · 544,105 · 652,926 · 761,747 · 870,568 · 979,389 · 1,088,210

Sums & aliquot sequence

As a sum of two squares: 110² + 311²
As consecutive integers: 54,410 + 54,411

Continued fraction of √n

√108,821 = [329; (1, 7, 2, 1, 5, 131, 1, 3, 2, 6, 1, 2, 1, 1, 1, 25, 1, 3, 11, 1, 2, 1, 8, 1, …)]

Representations

In words
one hundred eight thousand eight hundred twenty-one
Ordinal
108821st
Binary
11010100100010101
Octal
324425
Hexadecimal
0x1A915
Base64
AakV
One's complement
4,294,858,474 (32-bit)
Scientific notation
1.08821 × 10⁵
In other bases
ternary (3) 12112021102
quaternary (4) 122210111
quinary (5) 11440241
senary (6) 2155445
septenary (7) 632156
nonary (9) 175242
undecimal (11) 74839
duodecimal (12) 52b85
tridecimal (13) 3a6bb
tetradecimal (14) 2b92d
pentadecimal (15) 2239b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρηωκαʹ
Mayan (base 20)
𝋭·𝋬·𝋡·𝋡
Chinese
一十萬八千八百二十一
Chinese (financial)
壹拾萬捌仟捌佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٨٨٢١ Devanagari १०८८२१ Bengali ১০৮৮২১ Tamil ௧௦௮௮௨௧ Thai ๑๐๘๘๒๑ Tibetan ༡༠༨༨༢༡ Khmer ១០៨៨២១ Lao ໑໐໘໘໒໑ Burmese ၁၀၈၈၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 108827.

Hex color
#01A915
RGB(1, 169, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.169.21.

Address
0.1.169.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.169.21

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 108,821 and was likely granted around 1871.

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
000108821
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.