100839205104 has 320 divisors, whose sum is σ = 298297479168. Its totient is φ = 29078323200.

The previous prime is 100839205079. The next prime is 100839205139. The reversal of 100839205104 is 401502938001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432786172 + ... + 432786404.

Almost surely, 2^100839205104 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 100839205104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149148739584).

100839205104 is an abundant number, since it is smaller than the sum of its proper divisors (197458274064).

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

100839205104 is a wasteful number, since it uses less digits than its factorization.

100839205104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 100839205104 in words is "one hundred billion, eight hundred thirty-nine million, two hundred five thousand, one hundred four".