106,116
106,116 is a composite number, even.
106,116 (one hundred six thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 37 × 239. Its proper divisors sum to 149,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19E84.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 611,601
- Flips to (rotate 180°)
- 911,901
- Recamán's sequence
- a(88,531) = 106,116
- Square (n²)
- 11,260,605,456
- Cube (n³)
- 1,194,930,408,568,896
- Divisor count
- 24
- σ(n) — sum of divisors
- 255,360
- φ(n) — Euler's totient
- 34,272
- Sum of prime factors
- 283
Primality
Prime factorization: 2 2 × 3 × 37 × 239
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,116 = [325; (1, 3, 13, 1, 1, 1, 1, 2, 1, 3, 1, 3, 2, 1, 3, 3, 1, 1, 2, 2, 6, 2, 3, 1, …)]
Representations
- In words
- one hundred six thousand one hundred sixteen
- Ordinal
- 106116th
- Binary
- 11001111010000100
- Octal
- 317204
- Hexadecimal
- 0x19E84
- Base64
- AZ6E
- One's complement
- 4,294,861,179 (32-bit)
- Scientific notation
- 1.06116 × 10⁵
- As a duration
- 106,116 s = 1 day, 5 hours, 28 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛριϛʹ
- Mayan (base 20)
- 𝋭·𝋥·𝋥·𝋰
- Chinese
- 十萬六千一百一十六
- Chinese (financial)
- 壹拾萬陸仟壹佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106116, here are decompositions:
- 7 + 106109 = 106116
- 13 + 106103 = 106116
- 29 + 106087 = 106116
- 83 + 106033 = 106116
- 97 + 106019 = 106116
- 103 + 106013 = 106116
- 139 + 105977 = 106116
- 149 + 105967 = 106116
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.132.
- Address
- 0.1.158.132
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.158.132
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 106,116 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°.