10202160 has 40 divisors (see below), whose sum is σ = 31627440. Its totient is φ = 2720512.

The previous prime is 10202119. The next prime is 10202177. The reversal of 10202160 is 6120201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 21015 + ... + 21494.

It is an arithmetic number, because the mean of its divisors is an integer number (790686).

Almost surely, 2^10202160 is an apocalyptic number.

10202160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202160 is an abundant number, since it is smaller than the sum of its proper divisors (21425280).

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

10202160 is a wasteful number, since it uses less digits than its factorization.

10202160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42525 (or 42519 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10202160 is about 3194.0820277507. The cubic root of 10202160 is about 216.8855959355.

Adding to 10202160 its reverse (6120201), we get a palindrome (16322361).

The spelling of 10202160 in words is "ten million, two hundred two thousand, one hundred sixty".