105365572 has 48 divisors (see below), whose sum is σ = 206507952. Its totient is φ = 46725120.

The previous prime is 105365567. The next prime is 105365581. The reversal of 105365572 is 275563501.

It can be written as a sum of positive squares in 8 ways, for example, as 835396 + 104530176 = 914^2 + 10224^2 .

It is a super-2 number, since 2×105365572² = 22203807525774368, which contains 22 as substring.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155298 + ... + 155974.

It is an arithmetic number, because the mean of its divisors is an integer number (4302249).

Almost surely, 2^105365572 is an apocalyptic number.

It is an amenable number.

105365572 is a deficient number, since it is larger than the sum of its proper divisors (101142380).

105365572 is a wasteful number, since it uses less digits than its factorization.

105365572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The square root of 105365572 is about 10264.7733535622. The cubic root of 105365572 is about 472.3162739500.

The spelling of 105365572 in words is "one hundred five million, three hundred sixty-five thousand, five hundred seventy-two".