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106,148

106,148 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.).

106,148 (one hundred six thousand one hundred forty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 17 × 223. Its proper divisors sum to 119,644, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19EA4.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
841,601
Recamán's sequence
a(88,651) = 106,148
Square (n²)
11,267,397,904
Cube (n³)
1,196,011,752,713,792
Divisor count
24
σ(n) — sum of divisors
225,792
φ(n) — Euler's totient
42,624
Sum of prime factors
251

Primality

Prime factorization: 2 2 × 7 × 17 × 223

Nearest primes: 106,129 (−19) · 106,163 (+15)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 17 · 28 · 34 · 68 · 119 · 223 · 238 · 446 · 476 · 892 · 1561 · 3122 · 3791 · 6244 · 7582 · 15164 · 26537 · 53074 (half) · 106148
Aliquot sum (sum of proper divisors): 119,644
Factor pairs (a × b = 106,148)
1 × 106148
2 × 53074
4 × 26537
7 × 15164
14 × 7582
17 × 6244
28 × 3791
34 × 3122
68 × 1561
119 × 892
223 × 476
238 × 446
First multiples
106,148 · 212,296 (double) · 318,444 · 424,592 · 530,740 · 636,888 · 743,036 · 849,184 · 955,332 · 1,061,480

Sums & aliquot sequence

As consecutive integers: 15,161 + 15,162 + … + 15,167 13,265 + 13,266 + … + 13,272 6,236 + 6,237 + … + 6,252 1,868 + 1,869 + … + 1,923
Aliquot sequence: 106,148 → 119,644 → 119,700 → 331,660 → 506,996 → 561,484 → 664,244 → 688,366 → 491,714 → 261,694 → 147,986 → 77,818 → 52,718 → 28,330 → 22,682 → 14,470 → 11,594 — unresolved within range

Continued fraction of √n

√106,148 = [325; (1, 4, 10, 1, 5, 2, 2, 2, 5, 1, 10, 4, 1, 650)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand one hundred forty-eight
Ordinal
106148th
Binary
11001111010100100
Octal
317244
Hexadecimal
0x19EA4
Base64
AZ6k
One's complement
4,294,861,147 (32-bit)
Scientific notation
1.06148 × 10⁵
As a duration
106,148 s = 1 day, 5 hours, 29 minutes, 8 seconds
In other bases
ternary (3) 12101121102
quaternary (4) 121322210
quinary (5) 11344043
senary (6) 2135232
septenary (7) 621320
nonary (9) 171542
undecimal (11) 72829
duodecimal (12) 51518
tridecimal (13) 39413
tetradecimal (14) 2a980
pentadecimal (15) 216b8

As an angle

106,148° = 294 × 360° + 308°
308° ≈ 5.376 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛρμηʹ
Mayan (base 20)
𝋭·𝋥·𝋧·𝋨
Chinese
十萬六千一百四十八
Chinese (financial)
壹拾萬陸仟壹佰肆拾捌
In other modern scripts
Eastern Arabic ١٠٦١٤٨ Devanagari १०६१४८ Bengali ১০৬১৪৮ Tamil ௧௦௬௧௪௮ Thai ๑๐๖๑๔๘ Tibetan ༡༠༦༡༤༨ Khmer ១០៦១៤៨ Lao ໑໐໖໑໔໘ Burmese ၁၀၆၁၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106148, here are decompositions:

  • 19 + 106129 = 106148
  • 61 + 106087 = 106148
  • 151 + 105997 = 106148
  • 181 + 105967 = 106148
  • 241 + 105907 = 106148
  • 277 + 105871 = 106148
  • 331 + 105817 = 106148
  • 379 + 105769 = 106148

Showing the first eight; more decompositions exist.

Hex color
#019EA4
RGB(1, 158, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.164.

Address
0.1.158.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.158.164

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 106,148 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.