56105011060100 has 18 divisors (see below), whose sum is σ = 121747874000634. Its totient is φ = 22442004424000.

The previous prime is 56105011060067. The next prime is 56105011060121. The reversal of 56105011060100 is 106011050165.

It can be written as a sum of positive squares in 3 ways, for example, as 1020233324356 + 55084777735744 = 1010066^2 + 7421912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56105011060100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 280525055201 + ... + 280525055400.

It is an arithmetic number, because the mean of its divisors is an integer number (6763770777813).

Almost surely, 2^{56105011060100} is an apocalyptic number.

56105011060100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56105011060100 is an abundant number, since it is smaller than the sum of its proper divisors (65642862940534).

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

56105011060100 is a wasteful number, since it uses less digits than its factorization.

56105011060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561050110615 (or 561050110608 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 56105011060100 in words is "fifty-six trillion, one hundred five billion, eleven million, sixty thousand, one hundred".