100585575106025 has 12 divisors (see below), whose sum is σ = 130148987616192. Its totient is φ = 76969831385040.

The previous prime is 100585575106001. The next prime is 100585575106073. The reversal of 100585575106025 is 520601575585001.

It is a happy number.

It is not a de Polignac number, because 100585575106025 - 2²⁴ = 100585558328809 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87465716909 + ... + 87465718058.

It is an arithmetic number, because the mean of its divisors is an integer number (10845748968016).

Almost surely, 2^{100585575106025} is an apocalyptic number.

It is an amenable number.

100585575106025 is a deficient number, since it is larger than the sum of its proper divisors (29563412510167).

100585575106025 is a wasteful number, since it uses less digits than its factorization.

100585575106025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174931435000 (or 174931434995 counting only the distinct ones).

The product of its (nonzero) digits is 2100000, while the sum is 50.

The spelling of 100585575106025 in words is "one hundred trillion, five hundred eighty-five billion, five hundred seventy-five million, one hundred six thousand, twenty-five".