106,506
106,506 is a composite number, even.
106,506 (one hundred six thousand five hundred six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 61 × 97. Its proper divisors sum to 130,458, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A00A.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 605,601
- Recamán's sequence
- a(88,175) = 106,506
- Square (n²)
- 11,343,528,036
- Cube (n³)
- 1,208,153,797,002,216
- Divisor count
- 24
- σ(n) — sum of divisors
- 236,964
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 166
Primality
Prime factorization: 2 × 3 2 × 61 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√106,506 = [326; (2, 1, 5, 9, 6, 1, 3, 5, 7, 2, 1, 1, 71, 1, 12, 1, 9, 8, 1, 5, 3, 1, 2, 1, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- one hundred six thousand five hundred six
- Ordinal
- 106506th
- Binary
- 11010000000001010
- Octal
- 320012
- Hexadecimal
- 0x1A00A
- Base64
- AaAK
- One's complement
- 4,294,860,789 (32-bit)
- Scientific notation
- 1.06506 × 10⁵
- As a duration
- 106,506 s = 1 day, 5 hours, 35 minutes, 6 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρϛφϛʹ
- Mayan (base 20)
- 𝋭·𝋦·𝋥·𝋦
- Chinese
- 十萬六千五百零六
- Chinese (financial)
- 壹拾萬陸仟伍佰零陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106506, here are decompositions:
- 5 + 106501 = 106506
- 19 + 106487 = 106506
- 53 + 106453 = 106506
- 73 + 106433 = 106506
- 79 + 106427 = 106506
- 89 + 106417 = 106506
- 109 + 106397 = 106506
- 139 + 106367 = 106506
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.10.
- Address
- 0.1.160.10
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.160.10
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 106,506 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.