# 1105

## 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  which divides 1105 - 1 = 1104.
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  where the first 1s in each sum denote the multiplicities of the prime divisors.
largest prime divisor 17
largest prime power divisor 17