Live analysis

106,821

106,821 is a composite number, 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.).

106,821 (one hundred six thousand eight hundred twenty-one) is an odd 6-digit number. It is a composite number with 24 divisors, and factors as 3² × 11 × 13 × 83. Written other ways, in hexadecimal, 0x1A145.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

106,809 106,810 106,811 106,812 106,813 106,814 106,815 106,816 106,817 106,818 106,819 106,820 106,821 106,822 106,823 106,824 106,825 106,826 106,827 106,828 106,829 106,830 106,831 106,832 106,833

less more

Properties

Parity: Odd
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 128,601
Recamán's sequence: a(24,290) = 106,821
Square (n²): 11,410,726,041
Cube (n³): 1,218,905,166,425,661
Divisor count: 24
σ(n) — sum of divisors: 183,456
φ(n) — Euler's totient: 59,040
Sum of prime factors: 113

Primality

Prime factorization: 3 ² × 11 × 13 × 83

Nearest primes: 106,801 (−20) · 106,823 (+2)

Divisors & multiples

All divisors (24)

1 · 3 · 9 · 11 · 13 · 33 · 39 · 83 · 99 · 117 · 143 · 249 · 429 · 747 · 913 · 1079 · 1287 · 2739 · 3237 · 8217 · 9711 · 11869 · 35607 · 106821

Aliquot sum (sum of proper divisors): 76,635

Factor pairs (a × b = 106,821)

1 × 106821

3 × 35607

9 × 11869

11 × 9711

13 × 8217

33 × 3237

39 × 2739

83 × 1287

99 × 1079

117 × 913

143 × 747

249 × 429

First multiples

106,821 · 213,642 (double) · 320,463 · 427,284 · 534,105 · 640,926 · 747,747 · 854,568 · 961,389 · 1,068,210

Sums & aliquot sequence

As consecutive integers: 53,410 + 53,411 35,606 + 35,607 + 35,608 17,801 + 17,802 + 17,803 + 17,804 + 17,805 + 17,806 11,865 + 11,866 + … + 11,873

Aliquot sequence: 106,821 → 76,635 → 67,509 → 37,687 → 3,305 → 667 → 53 → 1 → 0 — terminates at zero

Continued fraction of √n

√106,821 = [326; (1, 5, 18, 1, 1, 25, 1, 1, 1, 2, 1, 2, 18, 3, 4, 2, 1, 12, 1, 1, 1, 5, 1, 7, …)]

Representations

In words: one hundred six thousand eight hundred twenty-one
Ordinal: 106821st
Binary: 11010000101000101
Octal: 320505
Hexadecimal: 0x1A145
Base64: AaFF
One's complement: 4,294,860,474 (32-bit)
Scientific notation: 1.06821 × 10⁵
As a duration: 106,821 s = 1 day, 5 hours, 40 minutes, 21 seconds

In other bases

ternary (3) 12102112100

quaternary (4) 122011011

quinary (5) 11404241

senary (6) 2142313

septenary (7) 623301

nonary (9) 172470

undecimal (11) 73290

duodecimal (12) 51999

tridecimal (13) 39810

tetradecimal (14) 2ad01

pentadecimal (15) 219b6

As an angle

106,821° = 296 × 360° + 261°

261° ≈ 4.555 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian): ͵ρϛωκαʹ
Mayan (base 20): 𝋭·𝋧·𝋡·𝋡
Chinese: 十萬六千八百二十一
Chinese (financial): 壹拾萬陸仟捌佰貳拾壹

In other modern scripts

Eastern Arabic ١٠٦٨٢١ Devanagari १०६८२१ Bengali ১০৬৮২১ Tamil ௧௦௬௮௨௧ Thai ๑๐๖๘๒๑ Tibetan ༡༠༦༨༢༡ Khmer ១០៦៨២១ Lao ໑໐໖໘໒໑ Burmese ၁၀၆၈၂၁

Also seen as

Hex color

#01A145

RGB(1, 161, 69)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.69.

Address: 0.1.161.69
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.161.69

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 106,821 and was likely granted around 1870.

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

Look up US106,821 on Google Patents ↗ Look up on USPTO ↗