107,168
107,168 is a composite number, even.
107,168 (one hundred seven thousand one hundred sixty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 17 × 197. Its proper divisors sum to 117,364, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A2A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 861,701
- Recamán's sequence
- a(82,391) = 107,168
- Square (n²)
- 11,484,980,224
- Cube (n³)
- 1,230,822,360,645,632
- Divisor count
- 24
- σ(n) — sum of divisors
- 224,532
- φ(n) — Euler's totient
- 50,176
- Sum of prime factors
- 224
Primality
Prime factorization: 2 5 × 17 × 197
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√107,168 = [327; (2, 1, 2, 1, 4, 2, 2, 1, 40, 4, 1, 3, 13, 1, 2, 163, 2, 1, 13, 3, 1, 4, 40, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seven thousand one hundred sixty-eight
- Ordinal
- 107168th
- Binary
- 11010001010100000
- Octal
- 321240
- Hexadecimal
- 0x1A2A0
- Base64
- AaKg
- One's complement
- 4,294,860,127 (32-bit)
- Scientific notation
- 1.07168 × 10⁵
- As a duration
- 107,168 s = 1 day, 5 hours, 46 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρζρξηʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋲·𝋨
- Chinese
- 十萬七千一百六十八
- Chinese (financial)
- 壹拾萬柒仟壹佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107168, here are decompositions:
- 31 + 107137 = 107168
- 67 + 107101 = 107168
- 79 + 107089 = 107168
- 97 + 107071 = 107168
- 211 + 106957 = 107168
- 307 + 106861 = 107168
- 367 + 106801 = 107168
- 409 + 106759 = 107168
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.160.
- Address
- 0.1.162.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.162.160
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 107,168 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.