10505116175 has 12 divisors (see below), whose sum is σ = 13028392320. Its totient is φ = 8402771520.

The previous prime is 10505116147. The next prime is 10505116177. The reversal of 10505116175 is 57161150501.

10505116175 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 10505116175 - 2⁸ = 10505115919 is a prime.

It is a super-2 number, since 2×10505116175² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505116177) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 148754 + ... + 207696.

It is an arithmetic number, because the mean of its divisors is an integer number (1085699360).

Almost surely, 2^10505116175 is an apocalyptic number.

10505116175 is a deficient number, since it is larger than the sum of its proper divisors (2523276145).

10505116175 is an equidigital number, since it uses as much as digits as its factorization.

10505116175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66082 (or 66077 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 32.

Adding to 10505116175 its reverse (57161150501), we get a palindrome (67666266676).

The spelling of 10505116175 in words is "ten billion, five hundred five million, one hundred sixteen thousand, one hundred seventy-five".