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106,950

106,950 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.).

106,950 (one hundred six thousand nine hundred fifty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3 × 5² × 23 × 31. Its proper divisors sum to 178,746, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A1C6.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
59,601
Recamán's sequence
a(24,448) = 106,950
Square (n²)
11,438,302,500
Cube (n³)
1,223,326,452,375,000
Divisor count
48
σ(n) — sum of divisors
285,696
φ(n) — Euler's totient
26,400
Sum of prime factors
69

Primality

Prime factorization: 2 × 3 × 5 2 × 23 × 31

Nearest primes: 106,949 (−1) · 106,957 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 23 · 25 · 30 · 31 · 46 · 50 · 62 · 69 · 75 · 93 · 115 · 138 · 150 · 155 · 186 · 230 · 310 · 345 · 465 · 575 · 690 · 713 · 775 · 930 · 1150 · 1426 · 1550 · 1725 · 2139 · 2325 · 3450 · 3565 · 4278 · 4650 · 7130 · 10695 · 17825 · 21390 · 35650 · 53475 (half) · 106950
Aliquot sum (sum of proper divisors): 178,746
Factor pairs (a × b = 106,950)
1 × 106950
2 × 53475
3 × 35650
5 × 21390
6 × 17825
10 × 10695
15 × 7130
23 × 4650
25 × 4278
30 × 3565
31 × 3450
46 × 2325
50 × 2139
62 × 1725
69 × 1550
75 × 1426
93 × 1150
115 × 930
138 × 775
150 × 713
155 × 690
186 × 575
230 × 465
310 × 345
First multiples
106,950 · 213,900 (double) · 320,850 · 427,800 · 534,750 · 641,700 · 748,650 · 855,600 · 962,550 · 1,069,500

Sums & aliquot sequence

As consecutive integers: 35,649 + 35,650 + 35,651 26,736 + 26,737 + 26,738 + 26,739 21,388 + 21,389 + 21,390 + 21,391 + 21,392 8,907 + 8,908 + … + 8,918
Aliquot sequence: 106,950 → 178,746 → 190,662 → 200,058 → 200,070 → 409,770 → 699,390 → 1,219,410 → 2,141,766 → 3,109,194 → 4,438,710 → 7,214,490 → 12,535,110 → 25,271,802 → 31,865,382 → 37,955,538 → 44,281,500 — unresolved within range

Continued fraction of √n

√106,950 = [327; (31, 6, 1, 12, 2, 25, 1, 2, 7, 3, 1, 2, 1, 3, 7, 2, 1, 25, 2, 12, 1, 6, 31, 654)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand nine hundred fifty
Ordinal
106950th
Binary
11010000111000110
Octal
320706
Hexadecimal
0x1A1C6
Base64
AaHG
One's complement
4,294,860,345 (32-bit)
Scientific notation
1.0695 × 10⁵
As a duration
106,950 s = 1 day, 5 hours, 42 minutes, 30 seconds
In other bases
ternary (3) 12102201010
quaternary (4) 122013012
quinary (5) 11410300
senary (6) 2143050
septenary (7) 623544
nonary (9) 172633
undecimal (11) 73398
duodecimal (12) 51a86
tridecimal (13) 398ac
tetradecimal (14) 2ad94
pentadecimal (15) 21a50

As an angle

106,950° = 297 × 360° + 30°
30° ≈ 0.524 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρϛϡνʹ
Mayan (base 20)
𝋭·𝋧·𝋧·𝋪
Chinese
十萬六千九百五十
Chinese (financial)
壹拾萬陸仟玖佰伍拾
In other modern scripts
Eastern Arabic ١٠٦٩٥٠ Devanagari १०६९५० Bengali ১০৬৯৫০ Tamil ௧௦௬௯௫௦ Thai ๑๐๖๙๕๐ Tibetan ༡༠༦༩༥༠ Khmer ១០៦៩៥០ Lao ໑໐໖໙໕໐ Burmese ၁၀၆၉၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106950, here are decompositions:

  • 13 + 106937 = 106950
  • 29 + 106921 = 106950
  • 43 + 106907 = 106950
  • 47 + 106903 = 106950
  • 73 + 106877 = 106950
  • 79 + 106871 = 106950
  • 83 + 106867 = 106950
  • 89 + 106861 = 106950

Showing the first eight; more decompositions exist.

Hex color
#01A1C6
RGB(1, 161, 198)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.198.

Address
0.1.161.198
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.161.198

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 106,950 and was likely granted around 1870.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.