100077993504 has 240 divisors, whose sum is σ = 310256100000. Its totient is φ = 31558864896.

The previous prime is 100077993479. The next prime is 100077993539. The reversal of 100077993504 is 405399770001.

It is a self number, because there is not a number n which added to its sum of digits gives 100077993504.

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 39 ways as a sum of consecutive naturals, for example, 61509939 + ... + 61511565.

It is an arithmetic number, because the mean of its divisors is an integer number (1292733750).

Almost surely, 2^100077993504 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 100077993504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155128050000).

100077993504 is an abundant number, since it is smaller than the sum of its proper divisors (210178106496).

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

100077993504 is a wasteful number, since it uses less digits than its factorization.

100077993504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 100077993504 in words is "one hundred billion, seventy-seven million, nine hundred ninety-three thousand, five hundred four".