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106,661

106,661 is a prime, odd.

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.).

106,661 (one hundred six thousand six hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1A0A5.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Flippable Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
166,601
Flips to (rotate 180°)
199,901
Recamán's sequence
a(86,021) = 106,661
Square (n²)
11,376,568,921
Cube (n³)
1,213,436,217,682,781
Divisor count
2
σ(n) — sum of divisors
106,662
φ(n) — Euler's totient
106,660

Primality

106,661 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 106661
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 106,661)
1 × 106661
First multiples
106,661 · 213,322 (double) · 319,983 · 426,644 · 533,305 · 639,966 · 746,627 · 853,288 · 959,949 · 1,066,610

Sums & aliquot sequence

As a sum of two squares: 70² + 319²
As consecutive integers: 53,330 + 53,331

Continued fraction of √n

√106,661 = [326; (1, 1, 2, 3, 1, 1, 2, 1, 1, 14, 3, 1, 3, 1, 10, 3, 1, 1, 3, 1, 14, 2, 2, 4, …)]

Representations

In words
one hundred six thousand six hundred sixty-one
Ordinal
106661st
Binary
11010000010100101
Octal
320245
Hexadecimal
0x1A0A5
Base64
AaCl
One's complement
4,294,860,634 (32-bit)
Scientific notation
1.06661 × 10⁵
As a duration
106,661 s = 1 day, 5 hours, 37 minutes, 41 seconds
In other bases
ternary (3) 12102022102
quaternary (4) 122002211
quinary (5) 11403121
senary (6) 2141445
septenary (7) 622652
nonary (9) 172272
undecimal (11) 73155
duodecimal (12) 51885
tridecimal (13) 39719
tetradecimal (14) 2ac29
pentadecimal (15) 2190b

As an angle

106,661° = 296 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρϛχξαʹ
Mayan (base 20)
𝋭·𝋦·𝋭·𝋡
Chinese
十萬六千六百六十一
Chinese (financial)
壹拾萬陸仟陸佰陸拾壹
In other modern scripts
Eastern Arabic ١٠٦٦٦١ Devanagari १०६६६१ Bengali ১০৬৬৬১ Tamil ௧௦௬௬௬௧ Thai ๑๐๖๖๖๑ Tibetan ༡༠༦༦༦༡ Khmer ១០៦៦៦១ Lao ໑໐໖໖໖໑ Burmese ၁၀၆၆၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 106663, cousin with 106657.

Hex color
#01A0A5
RGB(1, 160, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.165.

Address
0.1.160.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.160.165

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 106,661 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 106661 first appears in π at position 38,130 of the decimal expansion (the 38,130ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.