100094935775904 has 384 divisors, whose sum is σ = 298111488030720. Its totient is φ = 32666733969408.

The previous prime is 100094935775873. The next prime is 100094935775921. The reversal of 100094935775904 is 409577539490001.

100094935775904 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 9 + 4 + 9 + 3 + 577 + 59 + 0 + 4 = 666.

It is a super-3 number, since 3×100094935775904³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6947652669 + ... + 6947667075.

It is an arithmetic number, because the mean of its divisors is an integer number (776332000080).

Almost surely, 2^{100094935775904} 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 100094935775904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149055744015360).

100094935775904 is an abundant number, since it is smaller than the sum of its proper divisors (198016552254816).

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

100094935775904 is a wasteful number, since it uses less digits than its factorization.

100094935775904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15217 (or 15203 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 100094935775904 in words is "one hundred trillion, ninety-four billion, nine hundred thirty-five million, seven hundred seventy-five thousand, nine hundred four".