105,820
105,820 is a composite number, even.
105,820 (one hundred five thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 11 × 13 × 37. Its proper divisors sum to 162,308, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19D5C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 28,501
- Recamán's sequence
- a(42,739) = 105,820
- Square (n²)
- 11,197,872,400
- Cube (n³)
- 1,184,958,857,368,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 268,128
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 70
Primality
Prime factorization: 2 2 × 5 × 11 × 13 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√105,820 = [325; (3, 2, 1, 71, 1, 1, 2, 3, 5, 7, 1, 5, 2, 1, 1, 1, 4, 1, 3, 1, 6, 17, 1, 12, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- one hundred five thousand eight hundred twenty
- Ordinal
- 105820th
- Binary
- 11001110101011100
- Octal
- 316534
- Hexadecimal
- 0x19D5C
- Base64
- AZ1c
- One's complement
- 4,294,861,475 (32-bit)
- Scientific notation
- 1.0582 × 10⁵
- As a duration
- 105,820 s = 1 day, 5 hours, 23 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρεωκʹ
- Mayan (base 20)
- 𝋭·𝋤·𝋫·𝋠
- Chinese
- 一十萬五千八百二十
- Chinese (financial)
- 壹拾萬伍仟捌佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105820, here are decompositions:
- 3 + 105817 = 105820
- 53 + 105767 = 105820
- 59 + 105761 = 105820
- 137 + 105683 = 105820
- 167 + 105653 = 105820
- 257 + 105563 = 105820
- 263 + 105557 = 105820
- 293 + 105527 = 105820
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.157.92.
- Address
- 0.1.157.92
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.157.92
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 105,820 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 105820 first appears in π at position 49 of the decimal expansion (the 49ordinal-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.