10086160 has 120 divisors (see below), whose sum is σ = 28498176. Its totient is φ = 3306240.

The previous prime is 10086149. The next prime is 10086161. The reversal of 10086160 is 6168001.

It is not an unprimeable number, because it can be changed into a prime (10086161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121479 + ... + 121561.

Almost surely, 2^10086160 is an apocalyptic number.

10086160 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 10086160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088).

10086160 is an abundant number, since it is smaller than the sum of its proper divisors (18412016).

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

10086160 is a wasteful number, since it uses less digits than its factorization.

10086160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10086160 is about 3175.8715339258. The cubic root of 10086160 is about 216.0604540433.

The spelling of 10086160 in words is "ten million, eighty-six thousand, one hundred sixty".