100505500056 has 128 divisors (see below), whose sum is σ = 304776696000. Its totient is φ = 30501080064.

The previous prime is 100505499973. The next prime is 100505500057. The reversal of 100505500056 is 650005505001.

100505500056 is a `hidden beast` number, since 10 + 0 + 50 + 550 + 0 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100505500057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40171 + ... + 450138.

Almost surely, 2^100505500056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100505500056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152388348000).

100505500056 is an abundant number, since it is smaller than the sum of its proper divisors (204271195944).

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

100505500056 is a wasteful number, since it uses less digits than its factorization.

100505500056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490410 (or 490400 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 100505500056 in words is "one hundred billion, five hundred five million, five hundred thousand, fifty-six".