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106,660

106,660 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

106,660 (one hundred six thousand six hundred sixty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 5,333. Its proper divisors sum to 117,368, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A0A4.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Gapful Number Happy Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
66,601
Flips to (rotate 180°)
99,901
Recamán's sequence
a(86,023) = 106,660
Square (n²)
11,376,355,600
Cube (n³)
1,213,402,088,296,000
Divisor count
12
σ(n) — sum of divisors
224,028
φ(n) — Euler's totient
42,656
Sum of prime factors
5,342

Primality

Prime factorization: 2 2 × 5 × 5333

Nearest primes: 106,657 (−3) · 106,661 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 5333 · 10666 · 21332 · 26665 · 53330 (half) · 106660
Aliquot sum (sum of proper divisors): 117,368
Factor pairs (a × b = 106,660)
1 × 106660
2 × 53330
4 × 26665
5 × 21332
10 × 10666
20 × 5333
First multiples
106,660 · 213,320 (double) · 319,980 · 426,640 · 533,300 · 639,960 · 746,620 · 853,280 · 959,940 · 1,066,600

Sums & aliquot sequence

As a sum of two squares: 138² + 296² = 154² + 288²
As consecutive integers: 21,330 + 21,331 + 21,332 + 21,333 + 21,334 13,329 + 13,330 + … + 13,336 2,647 + 2,648 + … + 2,686
Aliquot sequence: 106,660 → 117,368 → 115,912 → 101,438 → 53,194 → 26,600 → 47,800 → 63,800 → 103,600 → 188,544 → 313,296 → 517,008 → 818,720 → 1,576,288 → 2,100,896 → 2,725,408 → 3,685,472 — unresolved within range

Continued fraction of √n

√106,660 = [326; (1, 1, 2, 3, 17, 1, 5, 1, 1, 1, 7, 7, 1, 13, 1, 30, 5, 1, 5, 1, 3, 4, 2, 1, …)]

Representations

In words
one hundred six thousand six hundred sixty
Ordinal
106660th
Binary
11010000010100100
Octal
320244
Hexadecimal
0x1A0A4
Base64
AaCk
One's complement
4,294,860,635 (32-bit)
Scientific notation
1.0666 × 10⁵
As a duration
106,660 s = 1 day, 5 hours, 37 minutes, 40 seconds
In other bases
ternary (3) 12102022101
quaternary (4) 122002210
quinary (5) 11403120
senary (6) 2141444
septenary (7) 622651
nonary (9) 172271
undecimal (11) 73154
duodecimal (12) 51884
tridecimal (13) 39718
tetradecimal (14) 2ac28
pentadecimal (15) 2190a
Palindromic in base 9

As an angle

106,660° = 296 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρϛχξʹ
Mayan (base 20)
𝋭·𝋦·𝋭·𝋠
Chinese
十萬六千六百六十
Chinese (financial)
壹拾萬陸仟陸佰陸拾
In other modern scripts
Eastern Arabic ١٠٦٦٦٠ Devanagari १०६६६० Bengali ১০৬৬৬০ Tamil ௧௦௬௬௬௦ Thai ๑๐๖๖๖๐ Tibetan ༡༠༦༦༦༠ Khmer ១០៦៦៦០ Lao ໑໐໖໖໖໐ Burmese ၁၀၆၆၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106660, here are decompositions:

  • 3 + 106657 = 106660
  • 11 + 106649 = 106660
  • 23 + 106637 = 106660
  • 41 + 106619 = 106660
  • 173 + 106487 = 106660
  • 227 + 106433 = 106660
  • 233 + 106427 = 106660
  • 263 + 106397 = 106660

Showing the first eight; more decompositions exist.

Hex color
#01A0A4
RGB(1, 160, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.164.

Address
0.1.160.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.160.164

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 106,660 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 106660 first appears in π at position 61,216 of the decimal expansion (the 61,216ordinal-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