100000825115904 has 144 divisors (see below), whose sum is σ = 295798074835200. Its totient is φ = 33324811444224.

The previous prime is 100000825115869. The next prime is 100000825115963. The reversal of 100000825115904 is 409511528000001.

100000825115904 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 0 + 8 + 2 + 51 + 1 + 590 + 4 = 666.

100000825115904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 24310057 + ... + 28124375.

Almost surely, 2^{100000825115904} 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 100000825115904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147899037417600).

100000825115904 is an abundant number, since it is smaller than the sum of its proper divisors (195797249719296).

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

100000825115904 is an equidigital number, since it uses as much as digits as its factorization.

100000825115904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818137 (or 3818117 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 100000825115904 in words is "one hundred trillion, eight hundred twenty-five million, one hundred fifteen thousand, nine hundred four".