2105313563772 has 24 divisors (see below), whose sum is σ = 5458220350800. Its totient is φ = 701771187888.

The previous prime is 2105313563707. The next prime is 2105313563807. The reversal of 2105313563772 is 2773653135012.

2105313563772 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 3 + 1 + 3 + 5 + 637 + 7 + 2 = 666.

It is a super-2 number, since 2×2105313563772² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9746821947 + ... + 9746822162.

It is an arithmetic number, because the mean of its divisors is an integer number (227425847950).

Almost surely, 2^{2105313563772} is an apocalyptic number.

It is an amenable number.

2105313563772 is an abundant number, since it is smaller than the sum of its proper divisors (3352906787028).

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

2105313563772 is a wasteful number, since it uses less digits than its factorization.

2105313563772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19493644122 (or 19493644114 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

Adding to 2105313563772 its reverse (2773653135012), we get a palindrome (4878966698784).

The spelling of 2105313563772 in words is "two trillion, one hundred five billion, three hundred thirteen million, five hundred sixty-three thousand, seven hundred seventy-two".