106,096
106,096 is a composite number, even.
106,096 (one hundred six thousand ninety-six) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 19 × 349. Its proper divisors sum to 110,904, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19E70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 690,601
- Flips to (rotate 180°)
- 960,901
- Recamán's sequence
- a(88,731) = 106,096
- Square (n²)
- 11,256,361,216
- Cube (n³)
- 1,194,254,899,572,736
- Divisor count
- 20
- σ(n) — sum of divisors
- 217,000
- φ(n) — Euler's totient
- 50,112
- Sum of prime factors
- 376
Primality
Prime factorization: 2 4 × 19 × 349
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,096 = [325; (1, 2, 1, 1, 1, 1, 1, 2, 1, 650)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand ninety-six
- Ordinal
- 106096th
- Binary
- 11001111001110000
- Octal
- 317160
- Hexadecimal
- 0x19E70
- Base64
- AZ5w
- One's complement
- 4,294,861,199 (32-bit)
- Scientific notation
- 1.06096 × 10⁵
- As a duration
- 106,096 s = 1 day, 5 hours, 28 minutes, 16 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛϟϛʹ
- Mayan (base 20)
- 𝋭·𝋥·𝋤·𝋰
- Chinese
- 十萬六千零九十六
- Chinese (financial)
- 壹拾萬陸仟零玖拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106096, here are decompositions:
- 83 + 106013 = 106096
- 113 + 105983 = 106096
- 167 + 105929 = 106096
- 197 + 105899 = 106096
- 233 + 105863 = 106096
- 443 + 105653 = 106096
- 563 + 105533 = 106096
- 569 + 105527 = 106096
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.112.
- Address
- 0.1.158.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.158.112
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 106,096 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 106096 first appears in π at position 422,908 of the decimal expansion (the 422,908ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.