100913904 has 320 divisors, whose sum is σ = 379975680. Its totient is φ = 24883200.

The previous prime is 100913893. The next prime is 100913951. The reversal of 100913904 is 409319001.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 668229 + ... + 668379.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^100913904 is an apocalyptic number.

100913904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100913904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189987840).

100913904 is an abundant number, since it is smaller than the sum of its proper divisors (279061776).

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

100913904 is a wasteful number, since it uses less digits than its factorization.

100913904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 100913904 is about 10045.5912717968. The cubic root of 100913904 is about 465.5685864660.

The spelling of 100913904 in words is "one hundred million, nine hundred thirteen thousand, nine hundred four".