100904496 has 160 divisors (see below), whose sum is σ = 339406848. Its totient is φ = 25048320.

The previous prime is 100904491. The next prime is 100904509. The reversal of 100904496 is 694409001.

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

It is not an unprimeable number, because it can be changed into a prime (100904491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84415 + ... + 85601.

Almost surely, 2^100904496 is an apocalyptic number.

100904496 is a gapful number since it is divisible by the number (16) 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 100904496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169703424).

100904496 is an abundant number, since it is smaller than the sum of its proper divisors (238502352).

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

100904496 is a wasteful number, since it uses less digits than its factorization.

100904496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 100904496 is about 10045.1229957627. The cubic root of 100904496 is about 465.5541180092.

The spelling of 100904496 in words is "one hundred million, nine hundred four thousand, four hundred ninety-six".