100075876625 has 16 divisors (see below), whose sum is σ = 124946115840. Its totient is φ = 80027738800.

The previous prime is 100075876597. The next prime is 100075876639. The reversal of 100075876625 is 526678570001.

It is not a de Polignac number, because 100075876625 - 2⁶ = 100075876561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100075876625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142286 + ... + 469464.

It is an arithmetic number, because the mean of its divisors is an integer number (7809132240).

Almost surely, 2^100075876625 is an apocalyptic number.

It is an amenable number.

100075876625 is a deficient number, since it is larger than the sum of its proper divisors (24870239215).

100075876625 is an equidigital number, since it uses as much as digits as its factorization.

100075876625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329641 (or 329631 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 47.

The spelling of 100075876625 in words is "one hundred billion, seventy-five million, eight hundred seventy-six thousand, six hundred twenty-five".