100919291904 has 312 divisors, whose sum is σ = 309804195792. Its totient is φ = 32806010880.

The previous prime is 100919291897. The next prime is 100919291917. The reversal of 100919291904 is 409192919001.

It is a self number, because there is not a number n which added to its sum of digits gives 100919291904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40807212 + ... + 40809684.

It is an arithmetic number, because the mean of its divisors is an integer number (992962166).

Almost surely, 2^100919291904 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 100919291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154902097896).

100919291904 is an abundant number, since it is smaller than the sum of its proper divisors (208884903888).

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

100919291904 is an frugal number, since it uses more digits than its factorization.

100919291904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 100919291904 in words is "one hundred billion, nine hundred nineteen million, two hundred ninety-one thousand, nine hundred four".