100507399303104 has 336 divisors, whose sum is σ = 304185019975200. Its totient is φ = 31641301942272.

The previous prime is 100507399303049. The next prime is 100507399303109. The reversal of 100507399303104 is 401303993705001.

100507399303104 is a `hidden beast` number, since 1 + 0 + 0 + 507 + 3 + 9 + 9 + 30 + 3 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100507399303104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100507399303109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6676894042 + ... + 6676909094.

It is an arithmetic number, because the mean of its divisors is an integer number (905312559450).

Almost surely, 2^{100507399303104} 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 100507399303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152092509987600).

100507399303104 is an abundant number, since it is smaller than the sum of its proper divisors (203677620672096).

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

100507399303104 is a wasteful number, since it uses less digits than its factorization.

100507399303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16932 (or 16919 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 100507399303104 in words is "one hundred trillion, five hundred seven billion, three hundred ninety-nine million, three hundred three thousand, one hundred four".