105575 has 12 divisors (see below), whose sum is σ = 135408. Its totient is φ = 81600.

The previous prime is 105563. The next prime is 105601. The reversal of 105575 is 575501.

It is not a de Polignac number, because 105575 - 2⁸ = 105319 is a prime.

It is a super-2 number, since 2×105575² = 22292161250, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 974 + ... + 1076.

It is an arithmetic number, because the mean of its divisors is an integer number (11284).

2¹⁰⁵⁵⁷⁵ is an apocalyptic number.

105575 is a deficient number, since it is larger than the sum of its proper divisors (29833).

105575 is a wasteful number, since it uses less digits than its factorization.

105575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 875, while the sum is 23.

The square root of 105575 is about 324.9230678176. The cubic root of 105575 is about 47.2628997188.

The spelling of 105575 in words is "one hundred five thousand, five hundred seventy-five".