100099226304 has 896 divisors, whose sum is σ = 383433523200. Its totient is φ = 24855552000.

The previous prime is 100099226281. The next prime is 100099226309. The reversal of 100099226304 is 403622990001.

100099226304 is a `hidden beast` number, since 10 + 0 + 0 + 9 + 9 + 2 + 2 + 630 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100099226309) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 321862309 + ... + 321862619.

It is an arithmetic number, because the mean of its divisors is an integer number (427939200).

Almost surely, 2^100099226304 is an apocalyptic number.

100099226304 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 100099226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191716761600).

100099226304 is an abundant number, since it is smaller than the sum of its proper divisors (283334296896).

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

100099226304 is a wasteful number, since it uses less digits than its factorization.

100099226304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 100099226304 in words is "one hundred billion, ninety-nine million, two hundred twenty-six thousand, three hundred four".