105190564 has 24 divisors (see below), whose sum is σ = 190487808. Its totient is φ = 50773920.

The previous prime is 105190549. The next prime is 105190571. The reversal of 105190564 is 465091501.

It is a super-2 number, since 2×105190564² = 22130109509276192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68307 + ... + 69829.

It is an arithmetic number, because the mean of its divisors is an integer number (7936992).

Almost surely, 2^105190564 is an apocalyptic number.

It is an amenable number.

105190564 is a deficient number, since it is larger than the sum of its proper divisors (85297244).

105190564 is a wasteful number, since it uses less digits than its factorization.

105190564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 105190564 is about 10256.2451218757. The cubic root of 105190564 is about 472.0546295574.

The spelling of 105190564 in words is "one hundred five million, one hundred ninety thousand, five hundred sixty-four".