105605105064 has 16 divisors (see below), whose sum is σ = 264012762720. Its totient is φ = 35201701680.

The previous prime is 105605105027. The next prime is 105605105077. The reversal of 105605105064 is 460501506501.

105605105064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105605105064² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2200106332 + ... + 2200106379.

It is an arithmetic number, because the mean of its divisors is an integer number (16500797670).

Almost surely, 2^105605105064 is an apocalyptic number.

It is an amenable number.

105605105064 is an abundant number, since it is smaller than the sum of its proper divisors (158407657656).

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

105605105064 is a wasteful number, since it uses less digits than its factorization.

105605105064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400212720 (or 4400212716 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 105605105064 in words is "one hundred five billion, six hundred five million, one hundred five thousand, sixty-four".