107,016
107,016 is a composite number, even.
107,016 (one hundred seven thousand sixteen) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 7³ × 13. Its proper divisors sum to 228,984, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A208.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 610,701
- Recamán's sequence
- a(45,711) = 107,016
- Square (n²)
- 11,452,424,256
- Cube (n³)
- 1,225,592,634,180,096
- Divisor count
- 64
- σ(n) — sum of divisors
- 336,000
- φ(n) — Euler's totient
- 28,224
- Sum of prime factors
- 43
Primality
Prime factorization: 2 3 × 3 × 7 3 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,016 = [327; (7, 1, 1, 12, 1, 4, 1, 1, 9, 13, 4, 25, 1, 12, 2, 1, 1, 3, 1, 1, 2, 12, 1, 25, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand sixteen
- Ordinal
- 107016th
- Binary
- 11010001000001000
- Octal
- 321010
- Hexadecimal
- 0x1A208
- Base64
- AaII
- One's complement
- 4,294,860,279 (32-bit)
- Scientific notation
- 1.07016 × 10⁵
- As a duration
- 107,016 s = 1 day, 5 hours, 43 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρζιϛʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋪·𝋰
- Chinese
- 十萬七千零一十六
- Chinese (financial)
- 壹拾萬柒仟零壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107016, here are decompositions:
- 23 + 106993 = 107016
- 37 + 106979 = 107016
- 53 + 106963 = 107016
- 59 + 106957 = 107016
- 67 + 106949 = 107016
- 79 + 106937 = 107016
- 109 + 106907 = 107016
- 113 + 106903 = 107016
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.8.
- Address
- 0.1.162.8
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.162.8
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 107,016 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°.