1105
From Number
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Summary
Factorization
1105 is a square-free number. It has prime factors 5, 13, and 17:
Properties and families
Property or family | Parameter values | First few numbers satisfying the property | Proof of satisfaction/containment/membership |
---|---|---|---|
Carmichael number (also called absolute pseudoprime) | second Carmichael number | 561, 1105, 1729, 2465, 2821, 6601, [SHOW MORE]View list on OEIS | The universal exponent is ![]() |
Poulet number (also called Sarrus number) (Fermat pseudoprime to base 2) | fourth Poulet number | 341, 561, 645, 1105, 1387, 1729, 1905, 2047, [SHOW MORE] View list on OEIS | follows from its being a Carmichael number (note that Carmichael number is odd). |
Arithmetic functions
Function | Value | Explanation |
---|---|---|
Euler totient function | 768 | The Euler totient function is ![]() |
universal exponent | 48 | The universal exponent is ![]() |
Mobius function | -1 | The number is a square-free number and it has an odd number of prime divisors (3 prime divisors) |
divisor count function | 8 | ![]() |
largest prime divisor | 17 | |
largest prime power divisor | 17 |