105293564 has 48 divisors (see below), whose sum is σ = 195924960. Its totient is φ = 49455360.

The previous prime is 105293561. The next prime is 105293581. The reversal of 105293564 is 465392501.

It is a super-2 number, since 2×105293564² = 22173469239644192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105293561) 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, 965942 + ... + 966050.

It is an arithmetic number, because the mean of its divisors is an integer number (4081770).

Almost surely, 2^105293564 is an apocalyptic number.

It is an amenable number.

105293564 is a deficient number, since it is larger than the sum of its proper divisors (90631396).

105293564 is a wasteful number, since it uses less digits than its factorization.

105293564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 105293564 is about 10261.2652241329. The cubic root of 105293564 is about 472.2086540374.

The spelling of 105293564 in words is "one hundred five million, two hundred ninety-three thousand, five hundred sixty-four".