Live analysis

105,000

105,000 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.).

105,000 (one hundred five thousand) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2³ × 3 × 5⁴ × 7. Its proper divisors sum to 269,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19A28.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Weird Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

104,988 104,989 104,990 104,991 104,992 104,993 104,994 104,995 104,996 104,997 104,998 104,999 105,000 105,001 105,002 105,003 105,004 105,005 105,006 105,007 105,008 105,009 105,010 105,011 105,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 501
Recamán's sequence: a(91,083) = 105,000
Square (n²): 11,025,000,000
Cube (n³): 1,157,625,000,000,000
Divisor count: 80
σ(n) — sum of divisors: 374,880
φ(n) — Euler's totient: 24,000
Sum of prime factors: 36

Primality

Prime factorization: 2 ³ × 3 × 5 ⁴ × 7

Nearest primes: 104,999 (−1) · 105,019 (+19)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 25 · 28 · 30 · 35 · 40 · 42 · 50 · 56 · 60 · 70 · 75 · 84 · 100 · 105 · 120 · 125 · 140 · 150 · 168 · 175 · 200 · 210 · 250 · 280 · 300 · 350 · 375 · 420 · 500 · 525 · 600 · 625 · 700 · 750 · 840 · 875 · 1000 · 1050 · 1250 · 1400 · 1500 · 1750 · 1875 · 2100 · 2500 · 2625 · 3000 · 3500 · 3750 · 4200 · 4375 · 5000 · 5250 · 7000 · 7500 · 8750 · 10500 · 13125 · 15000 · 17500 · 21000 · 26250 · 35000 · 52500 (half) · 105000

Aliquot sum (sum of proper divisors): 269,880

Factor pairs (a × b = 105,000)

1 × 105000

2 × 52500

3 × 35000

4 × 26250

5 × 21000

6 × 17500

7 × 15000

8 × 13125

10 × 10500

12 × 8750

14 × 7500

15 × 7000

20 × 5250

21 × 5000

24 × 4375

25 × 4200

28 × 3750

30 × 3500

35 × 3000

40 × 2625

42 × 2500

50 × 2100

56 × 1875

60 × 1750

70 × 1500

75 × 1400

84 × 1250

100 × 1050

105 × 1000

120 × 875

125 × 840

140 × 750

150 × 700

168 × 625

175 × 600

200 × 525

210 × 500

250 × 420

280 × 375

300 × 350

First multiples

105,000 · 210,000 (double) · 315,000 · 420,000 · 525,000 · 630,000 · 735,000 · 840,000 · 945,000 · 1,050,000

Sums & aliquot sequence

As consecutive integers: 34,999 + 35,000 + 35,001 20,998 + 20,999 + 21,000 + 21,001 + 21,002 14,997 + 14,998 + … + 15,003 6,993 + 6,994 + … + 7,007

Aliquot sequence: 105,000 → 269,880 → 607,080 → 1,214,520 → 2,565,480 → 5,131,320 → 10,537,320 → 21,075,000 → 45,014,520 → 90,029,400 → 190,942,200 → 492,674,760 → 1,117,577,520 → 2,742,889,680 → 6,550,441,848 → 11,196,492,552 — keeps growing

Continued fraction of √n

√105,000 = [324; (27, 648)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one hundred five thousand
Ordinal: 105000th
Binary: 11001101000101000
Octal: 315050
Hexadecimal: 0x19A28
Base64: AZoo
One's complement: 4,294,862,295 (32-bit)
Scientific notation: 1.05 × 10⁵
As a duration: 105,000 s = 1 day, 5 hours, 10 minutes

In other bases

ternary (3) 12100000220

quaternary (4) 121220220

quinary (5) 11330000

senary (6) 2130040

septenary (7) 615060

nonary (9) 170026

undecimal (11) 71985

duodecimal (12) 50920

tridecimal (13) 38a3c

tetradecimal (14) 2a3a0

pentadecimal (15) 211a0

As an angle

105,000° = 291 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 ·
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ρε
Mayan (base 20): 𝋭·𝋢·𝋪·𝋠
Chinese: 一十萬五千
Chinese (financial): 壹拾萬伍仟

In other modern scripts

Eastern Arabic ١٠٥٠٠٠ Devanagari १०५००० Bengali ১০৫০০০ Tamil ௧௦௫௦௦௦ Thai ๑๐๕๐๐๐ Tibetan ༡༠༥༠༠༠ Khmer ១០៥០០០ Lao ໑໐໕໐໐໐ Burmese ၁၀၅၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105000, here are decompositions:

13 + 104987 = 105000
29 + 104971 = 105000
41 + 104959 = 105000
47 + 104953 = 105000
53 + 104947 = 105000
67 + 104933 = 105000
83 + 104917 = 105000
89 + 104911 = 105000

Showing the first eight; more decompositions exist.

Hex color

#019A28

RGB(1, 154, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.154.40.

Address: 0.1.154.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.154.40

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 105,000 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 US105,000 on Google Patents ↗ Look up on USPTO ↗