10964093175 has 144 divisors (see below), whose sum is σ = 24028239872. Its totient is φ = 4849891200.

The previous prime is 10964093159. The next prime is 10964093177. The reversal of 10964093175 is 57139046901.

10964093175 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 10964093175 - 2⁴ = 10964093159 is a prime.

It is a super-2 number, since 2×10964093175² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10964093175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10964093177) 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 143 ways as a sum of consecutive naturals, for example, 1314117 + ... + 1322433.

Almost surely, 2^10964093175 is an apocalyptic number.

10964093175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10964093175 is an abundant number, since it is smaller than the sum of its proper divisors (13064146697).

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

10964093175 is an equidigital number, since it uses as much as digits as its factorization.

10964093175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 10964093175 in words is "ten billion, nine hundred sixty-four million, ninety-three thousand, one hundred seventy-five".