Live analysis

107,010

107,010 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.).

107,010 (one hundred seven thousand ten) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 5 × 29 × 41. Its proper divisors sum to 187,830, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A202.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

106,998 106,999 107,000 107,001 107,002 107,003 107,004 107,005 107,006 107,007 107,008 107,009 107,010 107,011 107,012 107,013 107,014 107,015 107,016 107,017 107,018 107,019 107,020 107,021 107,022

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 10,701
Recamán's sequence: a(45,723) = 107,010
Square (n²): 11,451,140,100
Cube (n³): 1,225,386,502,101,000
Divisor count: 48
σ(n) — sum of divisors: 294,840
φ(n) — Euler's totient: 26,880
Sum of prime factors: 83

Primality

Prime factorization: 2 × 3 ² × 5 × 29 × 41

Nearest primes: 106,993 (−17) · 107,021 (+11)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 29 · 30 · 41 · 45 · 58 · 82 · 87 · 90 · 123 · 145 · 174 · 205 · 246 · 261 · 290 · 369 · 410 · 435 · 522 · 615 · 738 · 870 · 1189 · 1230 · 1305 · 1845 · 2378 · 2610 · 3567 · 3690 · 5945 · 7134 · 10701 · 11890 · 17835 · 21402 · 35670 · 53505 (half) · 107010

Aliquot sum (sum of proper divisors): 187,830

Factor pairs (a × b = 107,010)

1 × 107010

2 × 53505

3 × 35670

5 × 21402

6 × 17835

9 × 11890

10 × 10701

15 × 7134

18 × 5945

29 × 3690

30 × 3567

41 × 2610

45 × 2378

58 × 1845

82 × 1305

87 × 1230

90 × 1189

123 × 870

145 × 738

174 × 615

205 × 522

246 × 435

261 × 410

290 × 369

First multiples

107,010 · 214,020 (double) · 321,030 · 428,040 · 535,050 · 642,060 · 749,070 · 856,080 · 963,090 · 1,070,100

Sums & aliquot sequence

As a sum of two squares: 9² + 327² = 63² + 321² = 189² + 267² = 219² + 243²

As consecutive integers: 35,669 + 35,670 + 35,671 26,751 + 26,752 + 26,753 + 26,754 21,400 + 21,401 + 21,402 + 21,403 + 21,404 11,886 + 11,887 + … + 11,894

Aliquot sequence: 107,010 → 187,830 → 300,762 → 552,870 → 884,826 → 1,032,336 → 1,927,296 → 4,437,504 → 8,931,060 → 20,036,340 → 41,213,940 → 74,974,860 → 165,614,580 → 349,025,364 → 579,669,676 → 474,743,684 → 371,733,640 — unresolved within range

Continued fraction of √n

√107,010 = [327; (8, 13, 4, 2, 2, 7, 1, 2, 72, 2, 1, 7, 2, 2, 4, 13, 8, 654)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one hundred seven thousand ten
Ordinal: 107010th
Binary: 11010001000000010
Octal: 321002
Hexadecimal: 0x1A202
Base64: AaIC
One's complement: 4,294,860,285 (32-bit)
Scientific notation: 1.0701 × 10⁵
As a duration: 107,010 s = 1 day, 5 hours, 43 minutes, 30 seconds

In other bases

ternary (3) 12102210100

quaternary (4) 122020002

quinary (5) 11411020

senary (6) 2143230

septenary (7) 623661

nonary (9) 172710

undecimal (11) 73442

duodecimal (12) 51b16

tridecimal (13) 39927

tetradecimal (14) 2add8

pentadecimal (15) 21a90

As an angle

107,010° = 297 × 360° + 90°

90° ≈ 1.571 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆
Greek (Milesian): ͵ρζιʹ
Mayan (base 20): 𝋭·𝋧·𝋪·𝋪
Chinese: 十萬七千零一十
Chinese (financial): 壹拾萬柒仟零壹拾

In other modern scripts

Eastern Arabic ١٠٧٠١٠ Devanagari १०७०१० Bengali ১০৭০১০ Tamil ௧௦௭௦௧௦ Thai ๑๐๗๐๑๐ Tibetan ༡༠༧༠༡༠ Khmer ១០៧០១០ Lao ໑໐໗໐໑໐ Burmese ၁၀၇၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107010, here are decompositions:

17 + 106993 = 107010
31 + 106979 = 107010
47 + 106963 = 107010
53 + 106957 = 107010
61 + 106949 = 107010
73 + 106937 = 107010
89 + 106921 = 107010
103 + 106907 = 107010

Showing the first eight; more decompositions exist.

Hex color

#01A202

RGB(1, 162, 2)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.2.

Address: 0.1.162.2
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.162.2

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 107,010 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 US107,010 on Google Patents ↗ Look up on USPTO ↗