105604 has 12 divisors (see below), whose sum is σ = 195804. Its totient is φ = 49664.

The previous prime is 105601. The next prime is 105607. The reversal of 105604 is 406501.

It is an interprime number because it is at equal distance from previous prime (105601) and next prime (105607).

It can be written as a sum of positive squares in 2 ways, for example, as 44100 + 61504 = 210^2 + 248^2 .

It is a super-2 number, since 2×105604² = 22304409632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 709 + ... + 844.

It is an arithmetic number, because the mean of its divisors is an integer number (16317).

2¹⁰⁵⁶⁰⁴ is an apocalyptic number.

It is an amenable number.

105604 is a deficient number, since it is larger than the sum of its proper divisors (90200).

105604 is a wasteful number, since it uses less digits than its factorization.

105604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 105604 is about 324.9676907017. The cubic root of 105604 is about 47.2672268120.

The spelling of 105604 in words is "one hundred five thousand, six hundred four".