100505605056 has 56 divisors (see below), whose sum is σ = 265978776144. Its totient is φ = 33494599680.

The previous prime is 100505605043. The next prime is 100505605093. The reversal of 100505605056 is 650506505001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 869716 + ... + 978476.

Almost surely, 2^100505605056 is an apocalyptic number.

100505605056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100505605056 is an abundant number, since it is smaller than the sum of its proper divisors (165473171088).

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

100505605056 is a wasteful number, since it uses less digits than its factorization.

100505605056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113589 (or 113579 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 100505605056 in words is "one hundred billion, five hundred five million, six hundred five thousand, fifty-six".