100807394784 has 192 divisors, whose sum is σ = 294485829120. Its totient is φ = 30033180672.

The previous prime is 100807394729. The next prime is 100807394803. The reversal of 100807394784 is 487493708001.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 725232987 + ... + 725233125.

It is an arithmetic number, because the mean of its divisors is an integer number (1533780360).

Almost surely, 2^100807394784 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 100807394784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147242914560).

100807394784 is an abundant number, since it is smaller than the sum of its proper divisors (193678434336).

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

100807394784 is an frugal number, since it uses more digits than its factorization.

100807394784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 100807394784 in words is "one hundred billion, eight hundred seven million, three hundred ninety-four thousand, seven hundred eighty-four".