100456526564 has 18 divisors (see below), whose sum is σ = 183774679830. Its totient is φ = 48044424736.

The previous prime is 100456526519. The next prime is 100456526617. The reversal of 100456526564 is 465625654001.

It can be written as a sum of positive squares in only one way, i.e., 51805401664 + 48651124900 = 227608^2 + 220570^2 .

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, 23735249 + ... + 23739480.

It is an arithmetic number, because the mean of its divisors is an integer number (10209704435).

Almost surely, 2^100456526564 is an apocalyptic number.

It is an amenable number.

100456526564 is a deficient number, since it is larger than the sum of its proper divisors (83318153266).

100456526564 is a wasteful number, since it uses less digits than its factorization.

100456526564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47474779 (or 47474754 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 100456526564 in words is "one hundred billion, four hundred fifty-six million, five hundred twenty-six thousand, five hundred sixty-four".