105580145 has 16 divisors (see below), whose sum is σ = 139105728. Its totient is φ = 76290240.

The previous prime is 105580109. The next prime is 105580147. The reversal of 105580145 is 541085501.

It is not a de Polignac number, because 105580145 - 2⁸ = 105579889 is a prime.

It is a super-2 number, since 2×105580145² = 22294334036442050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105580147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2522 + ... + 14748.

It is an arithmetic number, because the mean of its divisors is an integer number (8694108).

Almost surely, 2^105580145 is an apocalyptic number.

It is an amenable number.

105580145 is a deficient number, since it is larger than the sum of its proper divisors (33525583).

105580145 is a wasteful number, since it uses less digits than its factorization.

105580145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12400.

The product of its (nonzero) digits is 4000, while the sum is 29.

The square root of 105580145 is about 10275.2199489841. The cubic root of 105580145 is about 472.6366746263.

The spelling of 105580145 in words is "one hundred five million, five hundred eighty thousand, one hundred forty-five".