106,988
106,988 is a composite number, even.
106,988 (one hundred six thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 3,821. Its proper divisors sum to 107,044, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A1EC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 32
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 889,601
- Flips to (rotate 180°)
- 886,901
- Recamán's sequence
- a(82,031) = 106,988
- Square (n²)
- 11,446,432,144
- Cube (n³)
- 1,224,630,882,222,272
- Divisor count
- 12
- σ(n) — sum of divisors
- 214,032
- φ(n) — Euler's totient
- 45,840
- Sum of prime factors
- 3,832
Primality
Prime factorization: 2 2 × 7 × 3821
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,988 = [327; (11, 11, 1, 1, 2, 3, 1, 162, 1, 3, 2, 1, 1, 11, 11, 654)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand nine hundred eighty-eight
- Ordinal
- 106988th
- Binary
- 11010000111101100
- Octal
- 320754
- Hexadecimal
- 0x1A1EC
- Base64
- AaHs
- One's complement
- 4,294,860,307 (32-bit)
- Scientific notation
- 1.06988 × 10⁵
- As a duration
- 106,988 s = 1 day, 5 hours, 43 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛϡπηʹ
- Mayan (base 20)
- 𝋭·𝋧·𝋩·𝋨
- Chinese
- 十萬六千九百八十八
- Chinese (financial)
- 壹拾萬陸仟玖佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106988, here are decompositions:
- 31 + 106957 = 106988
- 67 + 106921 = 106988
- 127 + 106861 = 106988
- 229 + 106759 = 106988
- 241 + 106747 = 106988
- 307 + 106681 = 106988
- 331 + 106657 = 106988
- 367 + 106621 = 106988
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.236.
- Address
- 0.1.161.236
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.161.236
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 106,988 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.