Number

109

109 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Flippable Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime Year

Historical context — 109 AD

Calendar year

Year 109 (CIX) was a common year starting on Monday of the Julian calendar.

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Historical context — 109 BC

Calendar year

Year 109 BC was a year of the pre-Julian Roman 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: Tuesday
January 1, 109
Ended on: Tuesday
December 31, 109
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 100s
100–109
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,917
1917 years before 2026.

In other calendars

Hebrew: 3869 / 3870 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Earth zodiac:Rooster
Sexagenary cycle position 46 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 652 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 101 / 102 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 31 / 30 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 7 bits
Reversed: 901
Flips to (rotate 180°): 601
Recamán's sequence: a(369) = 109
Square (n²): 11,881
Cube (n³): 1,295,029
Divisor count: 2
σ(n) — sum of divisors: 110
φ(n) — Euler's totient: 108

Primality

109 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 109

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 109)

1 × 109

First multiples

109 · 218 (double) · 327 · 436 · 545 · 654 · 763 · 872 · 981 · 1,090

Sums & aliquot sequence

As a sum of two squares: 3² + 10²

As consecutive integers: 54 + 55

Representations

In words: one hundred nine
Ordinal: 109th
Roman numeral: CIX
Binary: 1101101
Octal: 155
Hexadecimal: 0x6D
Base64: bQ==
One's complement: 146 (8-bit)

In other bases

ternary (3) 11001

quaternary (4) 1231

quinary (5) 414

senary (6) 301

septenary (7) 214

nonary (9) 131

undecimal (11) 9a

duodecimal (12) 91

tridecimal (13) 85

tetradecimal (14) 7b

pentadecimal (15) 74

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ρθʹ
Mayan (base 20): 𝋥·𝋩
Chinese: 一百零九
Chinese (financial): 壹佰零玖

In other modern scripts

Eastern Arabic ١٠٩ Devanagari १०९ Bengali ১০৯ Tamil ௧௦௯ Thai ๑๐๙ Tibetan ༡༠༩ Khmer ១០៩ Lao ໑໐໙ Burmese ၁၀၉

Digit at this position in famous constants

π — Pi (π): Digit 109 = 6
e — Euler's number (e): Digit 109 = 1
φ — Golden ratio (φ): Digit 109 = 8
√2 — Pythagoras's (√2): Digit 109 = 6
ln 2 — Natural log of 2: Digit 109 = 1
γ — Euler-Mascheroni (γ): Digit 109 = 7

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 107 (gap of 2)
Next prime: 113 (gap of 4)

Pair status: twin with 107, cousin with 113.

ASCII character

As an ASCII codepoint, 109 is m. Printable ASCII character m.

Hex color

#00006D

RGB(0, 0, 109)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.109.

Address: 0.0.0.109
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.109

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