10605067920 has 60 divisors (see below), whose sum is σ = 35615355516. Its totient is φ = 2828017920.

The previous prime is 10605067897. The next prime is 10605067939. The reversal of 10605067920 is 2976050601.

10605067920 is a `hidden beast` number, since 1 + 0 + 60 + 506 + 7 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1906894224 + 8698173696 = 43668^2 + 93264^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10605067920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7363911 + ... + 7365350.

Almost surely, 2^10605067920 is an apocalyptic number.

10605067920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10605067920 is an abundant number, since it is smaller than the sum of its proper divisors (25010287596).

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

10605067920 is a wasteful number, since it uses less digits than its factorization.

10605067920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14729280 (or 14729271 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10605067920 in words is "ten billion, six hundred five million, sixty-seven thousand, nine hundred twenty".