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105,220

105,220 is a composite number, even.

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105,220 (one hundred five thousand two hundred twenty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 5,261. Its proper divisors sum to 115,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19B04.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
22,501
Recamán's sequence
a(90,019) = 105,220
Square (n²)
11,071,248,400
Cube (n³)
1,164,916,756,648,000
Divisor count
12
σ(n) — sum of divisors
221,004
φ(n) — Euler's totient
42,080
Sum of prime factors
5,270

Primality

Prime factorization: 2 2 × 5 × 5261

Nearest primes: 105,211 (−9) · 105,227 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 5261 · 10522 · 21044 · 26305 · 52610 (half) · 105220
Aliquot sum (sum of proper divisors): 115,784
Factor pairs (a × b = 105,220)
1 × 105220
2 × 52610
4 × 26305
5 × 21044
10 × 10522
20 × 5261
First multiples
105,220 · 210,440 (double) · 315,660 · 420,880 · 526,100 · 631,320 · 736,540 · 841,760 · 946,980 · 1,052,200

Sums & aliquot sequence

As a sum of two squares: 64² + 318² = 216² + 242²
As consecutive integers: 21,042 + 21,043 + 21,044 + 21,045 + 21,046 13,149 + 13,150 + … + 13,156 2,611 + 2,612 + … + 2,650
Aliquot sequence: 105,220 115,784 107,236 104,444 78,340 86,216 88,084 77,270 61,834 33,206 16,606 10,826 5,416 4,754 2,380 3,668 3,724 — unresolved within range

Continued fraction of √n

√105,220 = [324; (2, 1, 1, 1, 11, 5, 1, 6, 2, 4, 1, 8, 1, 1, 2, 2, 3, 2, 1, 1, 1, 10, 162, 10, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred five thousand two hundred twenty
Ordinal
105220th
Binary
11001101100000100
Octal
315404
Hexadecimal
0x19B04
Base64
AZsE
One's complement
4,294,862,075 (32-bit)
Scientific notation
1.0522 × 10⁵
As a duration
105,220 s = 1 day, 5 hours, 13 minutes, 40 seconds
In other bases
ternary (3) 12100100001
quaternary (4) 121230010
quinary (5) 11331340
senary (6) 2131044
septenary (7) 615523
nonary (9) 170301
undecimal (11) 72065
duodecimal (12) 50a84
tridecimal (13) 38b7b
tetradecimal (14) 2a4ba
pentadecimal (15) 2129a

As an angle

105,220° = 292 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρεσκʹ
Mayan (base 20)
𝋭·𝋣·𝋡·𝋠
Chinese
一十萬五千二百二十
Chinese (financial)
壹拾萬伍仟貳佰貳拾
In other modern scripts
Eastern Arabic ١٠٥٢٢٠ Devanagari १०५२२० Bengali ১০৫২২০ Tamil ௧௦௫௨௨௦ Thai ๑๐๕๒๒๐ Tibetan ༡༠༥༢༢༠ Khmer ១០៥២២០ Lao ໑໐໕໒໒໐ Burmese ၁၀၅၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105220, here are decompositions:

  • 47 + 105173 = 105220
  • 53 + 105167 = 105220
  • 83 + 105137 = 105220
  • 113 + 105107 = 105220
  • 149 + 105071 = 105220
  • 197 + 105023 = 105220
  • 233 + 104987 = 105220
  • 389 + 104831 = 105220

Showing the first eight; more decompositions exist.

Hex color
#019B04
RGB(1, 155, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.155.4.

Address
0.1.155.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.155.4

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 105,220 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