106,904
106,904 is a composite number, even.
106,904 (one hundred six thousand nine hundred four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 23 × 83. Its proper divisors sum to 135,016, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A198.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 409,601
- Recamán's sequence
- a(81,863) = 106,904
- Square (n²)
- 11,428,465,216
- Cube (n³)
- 1,221,748,645,451,264
- Divisor count
- 32
- σ(n) — sum of divisors
- 241,920
- φ(n) — Euler's totient
- 43,296
- Sum of prime factors
- 119
Primality
Prime factorization: 2 3 × 7 × 23 × 83
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,904 = [326; (1, 25, 6, 3, 4, 2, 32, 4, 32, 2, 4, 3, 6, 25, 1, 652)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand nine hundred four
- Ordinal
- 106904th
- Binary
- 11010000110011000
- Octal
- 320630
- Hexadecimal
- 0x1A198
- Base64
- AaGY
- One's complement
- 4,294,860,391 (32-bit)
- Scientific notation
- 1.06904 × 10⁵
- As a duration
- 106,904 s = 1 day, 5 hours, 41 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛϡδʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋥·𝋤
- Chinese
- 十萬六千九百零四
- Chinese (financial)
- 壹拾萬陸仟玖佰零肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106904, here are decompositions:
- 37 + 106867 = 106904
- 43 + 106861 = 106904
- 103 + 106801 = 106904
- 151 + 106753 = 106904
- 157 + 106747 = 106904
- 211 + 106693 = 106904
- 223 + 106681 = 106904
- 241 + 106663 = 106904
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.152.
- Address
- 0.1.161.152
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.152
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 106,904 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.