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106,121

106,121 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.).

106,121 (one hundred six thousand one hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x19E89.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
121,601
Recamán's sequence
a(88,521) = 106,121
Square (n²)
11,261,666,641
Cube (n³)
1,195,099,325,609,561
Divisor count
2
σ(n) — sum of divisors
106,122
φ(n) — Euler's totient
106,120

Primality

106,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 106121
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 106,121)
1 × 106121
First multiples
106,121 · 212,242 (double) · 318,363 · 424,484 · 530,605 · 636,726 · 742,847 · 848,968 · 955,089 · 1,061,210

Sums & aliquot sequence

As a sum of two squares: 61² + 320²
As consecutive integers: 53,060 + 53,061

Continued fraction of √n

√106,121 = [325; (1, 3, 4, 1, 7, 2, 1, 92, 2, 1, 1, 6, 1, 4, 9, 1, 1, 12, 1, 3, 2, 1, 3, 2, …)]

Representations

In words
one hundred six thousand one hundred twenty-one
Ordinal
106121st
Binary
11001111010001001
Octal
317211
Hexadecimal
0x19E89
Base64
AZ6J
One's complement
4,294,861,174 (32-bit)
Scientific notation
1.06121 × 10⁵
As a duration
106,121 s = 1 day, 5 hours, 28 minutes, 41 seconds
In other bases
ternary (3) 12101120102
quaternary (4) 121322021
quinary (5) 11343441
senary (6) 2135145
septenary (7) 621251
nonary (9) 171512
undecimal (11) 72804
duodecimal (12) 514b5
tridecimal (13) 393c2
tetradecimal (14) 2a961
pentadecimal (15) 2169b

As an angle

106,121° = 294 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρϛρκαʹ
Mayan (base 20)
𝋭·𝋥·𝋦·𝋡
Chinese
十萬六千一百二十一
Chinese (financial)
壹拾萬陸仟壹佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٦١٢١ Devanagari १०६१२१ Bengali ১০৬১২১ Tamil ௧௦௬௧௨௧ Thai ๑๐๖๑๒๑ Tibetan ༡༠༦༡༢༡ Khmer ១០៦១២១ Lao ໑໐໖໑໒໑ Burmese ၁၀၆၁၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 106123.

Hex color
#019E89
RGB(1, 158, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.137.

Address
0.1.158.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.158.137

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 106,121 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.