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107,021

107,021 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.).

107,021 (one hundred seven thousand twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1A20D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
120,701
Recamán's sequence
a(45,701) = 107,021
Square (n²)
11,453,494,441
Cube (n³)
1,225,764,428,570,261
Divisor count
2
σ(n) — sum of divisors
107,022
φ(n) — Euler's totient
107,020

Primality

107,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 107021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 107,021)
1 × 107021
First multiples
107,021 · 214,042 (double) · 321,063 · 428,084 · 535,105 · 642,126 · 749,147 · 856,168 · 963,189 · 1,070,210

Sums & aliquot sequence

As a sum of two squares: 211² + 250²
As consecutive integers: 53,510 + 53,511

Continued fraction of √n

√107,021 = [327; (7, 9, 13, 1, 4, 3, 3, 1, 1, 1, 1, 6, 1, 1, 163, 28, 2, 3, 1, 2, 1, 2, 2, 1, …)]

Period length 45 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand twenty-one
Ordinal
107021st
Binary
11010001000001101
Octal
321015
Hexadecimal
0x1A20D
Base64
AaIN
One's complement
4,294,860,274 (32-bit)
Scientific notation
1.07021 × 10⁵
As a duration
107,021 s = 1 day, 5 hours, 43 minutes, 41 seconds
In other bases
ternary (3) 12102210202
quaternary (4) 122020031
quinary (5) 11411041
senary (6) 2143245
septenary (7) 624005
nonary (9) 172722
undecimal (11) 73452
duodecimal (12) 51b25
tridecimal (13) 39935
tetradecimal (14) 2b005
pentadecimal (15) 21a9b

As an angle

107,021° = 297 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Greek (Milesian)
͵ρζκαʹ
Mayan (base 20)
𝋭·𝋧·𝋫·𝋡
Chinese
十萬七千零二十一
Chinese (financial)
壹拾萬柒仟零貳拾壹
In other modern scripts
Eastern Arabic ١٠٧٠٢١ Devanagari १०७०२१ Bengali ১০৭০২১ Tamil ௧௦௭௦௨௧ Thai ๑๐๗๐๒๑ Tibetan ༡༠༧༠༢༡ Khmer ១០៧០២១ Lao ໑໐໗໐໒໑ Burmese ၁၀၇၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01A20D
RGB(1, 162, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.13.

Address
0.1.162.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.13

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 107,021 and was likely granted around 1870.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.