107,088
107,088 is a composite number, even.
107,088 (one hundred seven thousand eighty-eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 23 × 97. Its proper divisors sum to 184,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A250.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 880,701
- Recamán's sequence
- a(82,231) = 107,088
- Square (n²)
- 11,467,839,744
- Cube (n³)
- 1,228,068,022,505,472
- Divisor count
- 40
- σ(n) — sum of divisors
- 291,648
- φ(n) — Euler's totient
- 33,792
- Sum of prime factors
- 131
Primality
Prime factorization: 2 4 × 3 × 23 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,088 = [327; (4, 8, 1, 2, 1, 1, 14, 3, 3, 9, 1, 12, 2, 4, 1, 12, 1, 4, 2, 12, 1, 9, 3, 3, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand eighty-eight
- Ordinal
- 107088th
- Binary
- 11010001001010000
- Octal
- 321120
- Hexadecimal
- 0x1A250
- Base64
- AaJQ
- One's complement
- 4,294,860,207 (32-bit)
- Scientific notation
- 1.07088 × 10⁵
- As a duration
- 107,088 s = 1 day, 5 hours, 44 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρζπηʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋮·𝋨
- Chinese
- 十萬七千零八十八
- Chinese (financial)
- 壹拾萬柒仟零捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107088, here are decompositions:
- 11 + 107077 = 107088
- 17 + 107071 = 107088
- 19 + 107069 = 107088
- 31 + 107057 = 107088
- 67 + 107021 = 107088
- 109 + 106979 = 107088
- 127 + 106961 = 107088
- 131 + 106957 = 107088
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.80.
- Address
- 0.1.162.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.162.80
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 107,088 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.