10055205175 has 24 divisors (see below), whose sum is σ = 13131190800. Its totient is φ = 7617012480.

The previous prime is 10055205161. The next prime is 10055205191. The reversal of 10055205175 is 57150255001.

10055205175 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10055205175 - 2⁵ = 10055205143 is a prime.

It is a super-2 number, since 2×10055205175² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1292397 + ... + 1300153.

It is an arithmetic number, because the mean of its divisors is an integer number (547132950).

Almost surely, 2^10055205175 is an apocalyptic number.

10055205175 is a deficient number, since it is larger than the sum of its proper divisors (3075985625).

10055205175 is a wasteful number, since it uses less digits than its factorization.

10055205175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10515 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 8750, while the sum is 31.

The spelling of 10055205175 in words is "ten billion, fifty-five million, two hundred five thousand, one hundred seventy-five".