100566652432104 has 48 divisors (see below), whose sum is σ = 272376202471620. Its totient is φ = 33521210035200.

The previous prime is 100566652432061. The next prime is 100566652432117. The reversal of 100566652432104 is 401234256665001.

100566652432104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 87097385429604 + 13469267002500 = 9332598^2 + 3670050^2 .

It is a super-2 number, since 2×100566652432104² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100566652432104.

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 11 ways as a sum of consecutive naturals, for example, 18574057 + ... + 23369400.

Almost surely, 2^{100566652432104} is an apocalyptic number.

It is an amenable number.

100566652432104 is an abundant number, since it is smaller than the sum of its proper divisors (171809550039516).

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

100566652432104 is a wasteful number, since it uses less digits than its factorization.

100566652432104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41976770 (or 41976763 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 100566652432104 in words is "one hundred trillion, five hundred sixty-six billion, six hundred fifty-two million, four hundred thirty-two thousand, one hundred four".