100605005106056 has 64 divisors (see below), whose sum is σ = 206057065898880. Its totient is φ = 45668645383680.

The previous prime is 100605005106031. The next prime is 100605005106061. The reversal of 100605005106056 is 650601500506001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050799820 + ... + 1050895556.

It is an arithmetic number, because the mean of its divisors is an integer number (3219641654670).

Almost surely, 2^{100605005106056} is an apocalyptic number.

It is an amenable number.

100605005106056 is an abundant number, since it is smaller than the sum of its proper divisors (105452060792824).

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

100605005106056 is a wasteful number, since it uses less digits than its factorization.

100605005106056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111534 (or 111530 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 100605005106056 in words is "one hundred trillion, six hundred five billion, five million, one hundred six thousand, fifty-six".