100664604306 has 128 divisors (see below), whose sum is σ = 260930764800. Its totient is φ = 28171463040.

The previous prime is 100664604281. The next prime is 100664604323. The reversal of 100664604306 is 603406466001.

100664604306 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 646 + 0 + 4 + 3 + 0 + 6 = 666.

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 63 ways as a sum of consecutive naturals, for example, 6258831 + ... + 6274893.

It is an arithmetic number, because the mean of its divisors is an integer number (2038521600).

Almost surely, 2^100664604306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100664604306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130465382400).

100664604306 is an abundant number, since it is smaller than the sum of its proper divisors (160266160494).

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

100664604306 is a wasteful number, since it uses less digits than its factorization.

100664604306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16421 (or 16415 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 100664604306 in words is "one hundred billion, six hundred sixty-four million, six hundred four thousand, three hundred six".