10082175075 has 108 divisors (see below), whose sum is σ = 21321682200. Its totient is φ = 4539870720.

The previous prime is 10082175073. The next prime is 10082175083. The reversal of 10082175075 is 57057128001.

It is not a de Polignac number, because 10082175075 - 2¹ = 10082175073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10082175073) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 731851 + ... + 745499.

Almost surely, 2^10082175075 is an apocalyptic number.

10082175075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10082175075 is an abundant number, since it is smaller than the sum of its proper divisors (11239507125).

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

10082175075 is a wasteful number, since it uses less digits than its factorization.

10082175075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13746 (or 13731 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 10082175075 in words is "ten billion, eighty-two million, one hundred seventy-five thousand, seventy-five".