105604320 has 48 divisors (see below), whose sum is σ = 332655120. Its totient is φ = 28161024.

The previous prime is 105604309. The next prime is 105604333. The reversal of 105604320 is 23406501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105604320² = 22304544805324800, which contains 22 as substring.

It is a congruent number.

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, 109525 + ... + 110484.

It is an arithmetic number, because the mean of its divisors is an integer number (6930315).

Almost surely, 2^105604320 is an apocalyptic number.

105604320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105604320 is an abundant number, since it is smaller than the sum of its proper divisors (227050800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105604320 is a wasteful number, since it uses less digits than its factorization.

105604320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220027 (or 220019 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 105604320 is about 10276.3962554974. The cubic root of 105604320 is about 472.6727455487.

The spelling of 105604320 in words is "one hundred five million, six hundred four thousand, three hundred twenty".