10152160 has 48 divisors (see below), whose sum is σ = 24249456. Its totient is φ = 4016128.

The previous prime is 10152139. The next prime is 10152173. The reversal of 10152160 is 6125101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16824 + ... + 17416.

It is an arithmetic number, because the mean of its divisors is an integer number (505197).

Almost surely, 2^10152160 is an apocalyptic number.

10152160 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 10152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12124728).

10152160 is an abundant number, since it is smaller than the sum of its proper divisors (14097296).

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

10152160 is a wasteful number, since it uses less digits than its factorization.

10152160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 10152160 is about 3186.2454393847. The cubic root of 10152160 is about 216.5307023362.

Adding to 10152160 its reverse (6125101), we get a palindrome (16277261).

The spelling of 10152160 in words is "ten million, one hundred fifty-two thousand, one hundred sixty".