100005055056 has 160 divisors (see below), whose sum is σ = 302900256000. Its totient is φ = 31527124992.

The previous prime is 100005055039. The next prime is 100005055091. The reversal of 100005055056 is 650550500001.

100005055056 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 50 + 550 + 56 = 666.

It is a super-2 number, since 2×100005055056² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 827760 + ... + 940848.

It is an arithmetic number, because the mean of its divisors is an integer number (1893126600).

Almost surely, 2^100005055056 is an apocalyptic number.

100005055056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100005055056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151450128000).

100005055056 is an abundant number, since it is smaller than the sum of its proper divisors (202895200944).

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

100005055056 is a wasteful number, since it uses less digits than its factorization.

100005055056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113218 (or 113206 counting only the distinct ones).

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

Adding to 100005055056 its reverse (650550500001), we get a palindrome (750555555057).

The spelling of 100005055056 in words is "one hundred billion, five million, fifty-five thousand, fifty-six".