106,120
106,120 is a composite number, even.
106,120 (one hundred six thousand one hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 7 × 379. Its proper divisors sum to 167,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19E88.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 21,601
- Recamán's sequence
- a(88,523) = 106,120
- Square (n²)
- 11,261,454,400
- Cube (n³)
- 1,195,065,540,928,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 273,600
- φ(n) — Euler's totient
- 36,288
- Sum of prime factors
- 397
Primality
Prime factorization: 2 3 × 5 × 7 × 379
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,120 = [325; (1, 3, 5, 1, 1, 1, 1, 1, 2, 5, 20, 1, 4, 1, 11, 72, 3, 3, 1, 5, 2, 3, 2, 1, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand one hundred twenty
- Ordinal
- 106120th
- Binary
- 11001111010001000
- Octal
- 317210
- Hexadecimal
- 0x19E88
- Base64
- AZ6I
- One's complement
- 4,294,861,175 (32-bit)
- Scientific notation
- 1.0612 × 10⁵
- As a duration
- 106,120 s = 1 day, 5 hours, 28 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρϛρκʹ
- Mayan (base 20)
- 𝋭·𝋥·𝋦·𝋠
- Chinese
- 十萬六千一百二十
- Chinese (financial)
- 壹拾萬陸仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106120, here are decompositions:
- 11 + 106109 = 106120
- 17 + 106103 = 106120
- 89 + 106031 = 106120
- 101 + 106019 = 106120
- 107 + 106013 = 106120
- 137 + 105983 = 106120
- 149 + 105971 = 106120
- 167 + 105953 = 106120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.136.
- Address
- 0.1.158.136
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.158.136
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 106,120 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 106120 first appears in π at position 260,444 of the decimal expansion (the 260,444ordinal-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.