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Number

1,106

1,106 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Evil Number Flippable Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 1106 AD

Calendar year

Year 1106 (MCVI) was a common year starting on Monday the Julian calendar.

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Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Monday
January 1, 1106
Ended on
Monday
December 31, 1106
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1100s
1100–1109
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
920
920 years before 2026.

In other calendars

Hebrew
4866 / 4867 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
499 / 500 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Dog
Sexagenary cycle position 23 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1649 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
484 / 485 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1098 / 1099 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1028 / 1027 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
6,011
Flips to (rotate 180°)
9,011
Recamán's sequence
a(1,960) = 1,106
Square (n²)
1,223,236
Cube (n³)
1,352,899,016
Divisor count
8
σ(n) — sum of divisors
1,920
φ(n) — Euler's totient
468
Sum of prime factors
88

Primality

Prime factorization: 2 × 7 × 79

Nearest primes: 1,103 (−3) · 1,109 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 79 · 158 · 553 (half) · 1106
Aliquot sum (sum of proper divisors): 814
Factor pairs (a × b = 1,106)
1 × 1106
2 × 553
7 × 158
14 × 79
First multiples
1,106 · 2,212 (double) · 3,318 · 4,424 · 5,530 · 6,636 · 7,742 · 8,848 · 9,954 · 11,060

Sums & aliquot sequence

As consecutive integers: 275 + 276 + 277 + 278 155 + 156 + … + 161 26 + 27 + … + 53
Aliquot sequence: 1,106 814 554 280 440 640 890 730 602 454 230 202 104 106 56 64 63 — unresolved within range

Representations

In words
one thousand one hundred six
Ordinal
1106th
Roman numeral
MCVI
Binary
10001010010
Octal
2122
Hexadecimal
0x452
Base64
BFI=
One's complement
64,429 (16-bit)
In other bases
ternary (3) 1111222
quaternary (4) 101102
quinary (5) 13411
senary (6) 5042
septenary (7) 3140
nonary (9) 1458
undecimal (11) 916
duodecimal (12) 782
tridecimal (13) 671
tetradecimal (14) 590
pentadecimal (15) 4db

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αρϛʹ
Mayan (base 20)
𝋢·𝋯·𝋦
Chinese
一千一百零六
Chinese (financial)
壹仟壹佰零陸
In other modern scripts
Eastern Arabic ١١٠٦ Devanagari ११०६ Bengali ১১০৬ Tamil ௧௧௦௬ Thai ๑๑๐๖ Tibetan ༡༡༠༦ Khmer ១១០៦ Lao ໑໑໐໖ Burmese ၁၁၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,106 = 8
e — Euler's number (e)
Digit 1,106 = 6
φ — Golden ratio (φ)
Digit 1,106 = 7
√2 — Pythagoras's (√2)
Digit 1,106 = 2
ln 2 — Natural log of 2
Digit 1,106 = 4
γ — Euler-Mascheroni (γ)
Digit 1,106 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1106, here are decompositions:

  • 3 + 1103 = 1106
  • 13 + 1093 = 1106
  • 19 + 1087 = 1106
  • 37 + 1069 = 1106
  • 43 + 1063 = 1106
  • 67 + 1039 = 1106
  • 73 + 1033 = 1106
  • 97 + 1009 = 1106

Showing the first eight; more decompositions exist.

Unicode codepoint
ђ
Cyrillic Small Letter Dje
U+0452
Lowercase letter (Ll)

UTF-8 encoding: D1 92 (2 bytes).

Hex color
#000452
RGB(0, 4, 82)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.82.

Address
0.0.4.82
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.82

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001106
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1106 first appears in π at position 13,460 of the decimal expansion (the 13,460ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.