100104085128096 has 960 divisors, whose sum is σ = 343414661990400. Its totient is φ = 28017808865280.

The previous prime is 100104085128077. The next prime is 100104085128167. The reversal of 100104085128096 is 690821580401001.

It is a happy number.

100104085128096 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 40 + 8 + 512 + 8 + 0 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 85485981591 + ... + 85485982761.

It is an arithmetic number, because the mean of its divisors is an integer number (357723606240).

Almost surely, 2^{100104085128096} is an apocalyptic number.

100104085128096 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 100104085128096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171707330995200).

100104085128096 is an abundant number, since it is smaller than the sum of its proper divisors (243310576862304).

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

100104085128096 is a wasteful number, since it uses less digits than its factorization.

100104085128096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 100104085128096 in words is "one hundred trillion, one hundred four billion, eighty-five million, one hundred twenty-eight thousand, ninety-six".