106,372
106,372 is a composite number, even.
106,372 (one hundred six thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 29 × 131. Its proper divisors sum to 115,388, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19F84.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 273,601
- Recamán's sequence
- a(252,436) = 106,372
- Square (n²)
- 11,315,002,384
- Cube (n³)
- 1,203,599,433,590,848
- Divisor count
- 24
- σ(n) — sum of divisors
- 221,760
- φ(n) — Euler's totient
- 43,680
- Sum of prime factors
- 171
Primality
Prime factorization: 2 2 × 7 × 29 × 131
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,372 = [326; (6, 1, 3, 1, 5, 12, 7, 2, 2, 2, 5, 2, 5, 1, 7, 72, 2, 1, 6, 7, 1, 9, 3, 5, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand three hundred seventy-two
- Ordinal
- 106372nd
- Binary
- 11001111110000100
- Octal
- 317604
- Hexadecimal
- 0x19F84
- Base64
- AZ+E
- One's complement
- 4,294,860,923 (32-bit)
- Scientific notation
- 1.06372 × 10⁵
- As a duration
- 106,372 s = 1 day, 5 hours, 32 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρϛτοβʹ
- Mayan (base 20)
- 𝋭·𝋥·𝋲·𝋬
- Chinese
- 十萬六千三百七十二
- Chinese (financial)
- 壹拾萬陸仟參佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106372, here are decompositions:
- 5 + 106367 = 106372
- 23 + 106349 = 106372
- 41 + 106331 = 106372
- 53 + 106319 = 106372
- 191 + 106181 = 106372
- 251 + 106121 = 106372
- 263 + 106109 = 106372
- 269 + 106103 = 106372
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.159.132.
- Address
- 0.1.159.132
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.159.132
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 106,372 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.