107,100
107,100 is a composite number, even.
107,100 (one hundred seven thousand one hundred) is an even 6-digit number. It is a composite number with 108 divisors, and factors as 2² × 3² × 5² × 7 × 17. Its proper divisors sum to 299,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A25C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 1,701
- Recamán's sequence
- a(82,255) = 107,100
- Square (n²)
- 11,470,410,000
- Cube (n³)
- 1,228,480,911,000,000
- Divisor count
- 108
- σ(n) — sum of divisors
- 406,224
- φ(n) — Euler's totient
- 23,040
- Sum of prime factors
- 44
Primality
Prime factorization: 2 2 × 3 2 × 5 2 × 7 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,100 = [327; (3, 1, 4, 1, 3, 654)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand one hundred
- Ordinal
- 107100th
- Binary
- 11010001001011100
- Octal
- 321134
- Hexadecimal
- 0x1A25C
- Base64
- AaJc
- One's complement
- 4,294,860,195 (32-bit)
- Scientific notation
- 1.071 × 10⁵
- As a duration
- 107,100 s = 1 day, 5 hours, 45 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢
- Greek (Milesian)
- ͵ρζρʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋯·𝋠
- Chinese
- 十萬七千一百
- Chinese (financial)
- 壹拾萬柒仟壹佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107100, here are decompositions:
- 11 + 107089 = 107100
- 23 + 107077 = 107100
- 29 + 107071 = 107100
- 31 + 107069 = 107100
- 43 + 107057 = 107100
- 47 + 107053 = 107100
- 67 + 107033 = 107100
- 79 + 107021 = 107100
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.92.
- Address
- 0.1.162.92
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.162.92
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 107,100 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°.