100399329864 has 192 divisors, whose sum is σ = 288809539200. Its totient is φ = 31420182528.

The previous prime is 100399329859. The next prime is 100399329881. The reversal of 100399329864 is 468923993001.

100399329864 is a `hidden beast` number, since 100 + 399 + 3 + 2 + 98 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100399329864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149181432 + ... + 149182104.

It is an arithmetic number, because the mean of its divisors is an integer number (1504216350).

Almost surely, 2^100399329864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100399329864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144404769600).

100399329864 is an abundant number, since it is smaller than the sum of its proper divisors (188410209336).

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

100399329864 is a wasteful number, since it uses less digits than its factorization.

100399329864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 100399329864 in words is "one hundred billion, three hundred ninety-nine million, three hundred twenty-nine thousand, eight hundred sixty-four".