106565104 has 20 divisors (see below), whose sum is σ = 213131200. Its totient is φ = 51563520.

The previous prime is 106565101. The next prime is 106565149. The reversal of 106565104 is 401565601.

106565104 is an admirable number.

It is a super-2 number, since 2×106565104² = 22712242781061632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106565101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106929 + ... + 107920.

It is an arithmetic number, because the mean of its divisors is an integer number (10656560).

Almost surely, 2^106565104 is an apocalyptic number.

It is an amenable number.

106565104 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

106565104 is a wasteful number, since it uses less digits than its factorization.

106565104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214888 (or 214882 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 106565104 is about 10323.0375374693. The cubic root of 106565104 is about 474.1018729805.

The spelling of 106565104 in words is "one hundred six million, five hundred sixty-five thousand, one hundred four".