105056056010556 has 48 divisors (see below), whose sum is σ = 311277202996480. Its totient is φ = 30016016002800.

The previous prime is 105056056010551. The next prime is 105056056010629. The reversal of 105056056010556 is 655010650650501.

105056056010556 is a `hidden beast` number, since 10 + 5 + 0 + 5 + 60 + 560 + 10 + 5 + 5 + 6 = 666.

It is a super-2 number, since 2×105056056010556² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105056056010551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69481517770 + ... + 69481519281.

Almost surely, 2^{105056056010556} is an apocalyptic number.

It is an amenable number.

105056056010556 is an abundant number, since it is smaller than the sum of its proper divisors (206221146985924).

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

105056056010556 is a wasteful number, since it uses less digits than its factorization.

105056056010556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138963037071 (or 138963037063 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 105056056010556 in words is "one hundred five trillion, fifty-six billion, fifty-six million, ten thousand, five hundred fifty-six".