2105768725164 has 36 divisors (see below), whose sum is σ = 5732370419776. Its totient is φ = 647928838368.

The previous prime is 2105768725147. The next prime is 2105768725187. The reversal of 2105768725164 is 4615278675012.

It is a happy number.

2105768725164 is a `hidden beast` number, since 2 + 1 + 0 + 57 + 6 + 8 + 72 + 516 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2105768725164.

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, 2249752444 + ... + 2249753379.

Almost surely, 2^{2105768725164} is an apocalyptic number.

It is an amenable number.

2105768725164 is an abundant number, since it is smaller than the sum of its proper divisors (3626601694612).

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

2105768725164 is a wasteful number, since it uses less digits than its factorization.

2105768725164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499505846 (or 4499505841 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 2105768725164 in words is "two trillion, one hundred five billion, seven hundred sixty-eight million, seven hundred twenty-five thousand, one hundred sixty-four".