106,100
106,100 is a composite number, even.
106,100 (one hundred six thousand one hundred) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 1,061. Its proper divisors sum to 124,354, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19E74.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 1,601
- Flips to (rotate 180°)
- 1,901
- Recamán's sequence
- a(88,939) = 106,100
- Square (n²)
- 11,257,210,000
- Cube (n³)
- 1,194,389,981,000,000
- Divisor count
- 18
- σ(n) — sum of divisors
- 230,454
- φ(n) — Euler's totient
- 42,400
- Sum of prime factors
- 1,075
Primality
Prime factorization: 2 2 × 5 2 × 1061
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,100 = [325; (1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 3, 2, 1, 5, 3, 1, 1, 4, 1, 4, 2, 3, …)]
Representations
- In words
- one hundred six thousand one hundred
- Ordinal
- 106100th
- Binary
- 11001111001110100
- Octal
- 317164
- Hexadecimal
- 0x19E74
- Base64
- AZ50
- One's complement
- 4,294,861,195 (32-bit)
- Scientific notation
- 1.061 × 10⁵
- As a duration
- 106,100 s = 1 day, 5 hours, 28 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢
- Greek (Milesian)
- ͵ρϛρʹ
- Mayan (base 20)
- 𝋭·𝋥·𝋥·𝋠
- Chinese
- 十萬六千一百
- Chinese (financial)
- 壹拾萬陸仟壹佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106100, here are decompositions:
- 13 + 106087 = 106100
- 67 + 106033 = 106100
- 103 + 105997 = 106100
- 157 + 105943 = 106100
- 193 + 105907 = 106100
- 229 + 105871 = 106100
- 271 + 105829 = 106100
- 283 + 105817 = 106100
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.116.
- Address
- 0.1.158.116
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.158.116
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 106,100 and was likely granted around 1870.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 106100 first appears in π at position 457,426 of the decimal expansion (the 457,426ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.