10185160 has 32 divisors (see below), whose sum is σ = 23182200. Its totient is φ = 4026880.

The previous prime is 10185157. The next prime is 10185173. The reversal of 10185160 is 6158101.

10185160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6937956 + 3247204 = 2634^2 + 1802^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2130 + ... + 4990.

Almost surely, 2^10185160 is an apocalyptic number.

10185160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10185160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11591100).

10185160 is an abundant number, since it is smaller than the sum of its proper divisors (12997040).

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

10185160 is a wasteful number, since it uses less digits than its factorization.

10185160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 10185160 is about 3191.4197467585. The cubic root of 10185160 is about 216.7650624746.

The spelling of 10185160 in words is "ten million, one hundred eighty-five thousand, one hundred sixty".