10052160 has 112 divisors (see below), whose sum is σ = 32894016. Its totient is φ = 2598912.

The previous prime is 10052071. The next prime is 10052191. The reversal of 10052160 is 6125001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35379 + ... + 35661.

Almost surely, 2^10052160 is an apocalyptic number.

10052160 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 10052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16447008).

10052160 is an abundant number, since it is smaller than the sum of its proper divisors (22841856).

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

10052160 is a wasteful number, since it uses less digits than its factorization.

10052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 10052160 is about 3170.5141538873. The cubic root of 10052160 is about 215.8174039846.

Adding to 10052160 its reverse (6125001), we get a palindrome (16177161).

The spelling of 10052160 in words is "ten million, fifty-two thousand, one hundred sixty".