105,137
105,137 is a prime, odd.
105,137 (one hundred five thousand one hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x19AB1.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 731,501
- Recamán's sequence
- a(90,809) = 105,137
- Square (n²)
- 11,053,788,769
- Cube (n³)
- 1,162,162,189,806,353
- Divisor count
- 2
- σ(n) — sum of divisors
- 105,138
- φ(n) — Euler's totient
- 105,136
Primality
105,137 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√105,137 = [324; (4, 37, 1, 8, 1, 2, 2, 1, 1, 4, 2, 11, 7, 1, 2, 1, 1, 1, 5, 3, 5, 2, 9, 1, …)]
Representations
- In words
- one hundred five thousand one hundred thirty-seven
- Ordinal
- 105137th
- Binary
- 11001101010110001
- Octal
- 315261
- Hexadecimal
- 0x19AB1
- Base64
- AZqx
- One's complement
- 4,294,862,158 (32-bit)
- Scientific notation
- 1.05137 × 10⁵
- As a duration
- 105,137 s = 1 day, 5 hours, 12 minutes, 17 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρερλζʹ
- Mayan (base 20)
- 𝋭·𝋢·𝋰·𝋱
- Chinese
- 一十萬五千一百三十七
- Chinese (financial)
- 壹拾萬伍仟壹佰參拾柒
Also seen as
As an unsigned 32-bit integer, this is the IPv4 address 0.1.154.177.
- Address
- 0.1.154.177
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.154.177
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 105,137 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 105137 first appears in π at position 61,420 of the decimal expansion (the 61,420ordinal-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.
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.