904412100096 has 160 divisors (see below), whose sum is σ = 2677791869280. Its totient is φ = 301395345408.

The previous prime is 904412100079. The next prime is 904412100139. The reversal of 904412100096 is 690001214409.

It is a happy number.

It is a super-2 number, since 2×904412100096² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 904412100096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96445360 + ... + 96454736.

It is an arithmetic number, because the mean of its divisors is an integer number (16736199183).

Almost surely, 2^904412100096 is an apocalyptic number.

904412100096 is a gapful number since it is divisible by the number (96) 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 904412100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338895934640).

904412100096 is an abundant number, since it is smaller than the sum of its proper divisors (1773379769184).

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

904412100096 is an equidigital number, since it uses as much as digits as its factorization.

904412100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16381 (or 16359 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 904412100096 in words is "nine hundred four billion, four hundred twelve million, one hundred thousand, ninety-six".