10102160 has 40 divisors (see below), whose sum is σ = 23643576. Its totient is φ = 4014080.

The previous prime is 10102151. The next prime is 10102177. The reversal of 10102160 is 6120101.

It can be written as a sum of positive squares in 4 ways, for example, as 5973136 + 4129024 = 2444^2 + 2032^2 .

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

It is a congruent number.

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, 15440 + ... + 16080.

Almost surely, 2^10102160 is an apocalyptic number.

10102160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102160 is an abundant number, since it is smaller than the sum of its proper divisors (13541416).

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

10102160 is a wasteful number, since it uses less digits than its factorization.

10102160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 10102160 is about 3178.3895293057. The cubic root of 10102160 is about 216.1746415672.

Adding to 10102160 its reverse (6120101), we get a palindrome (16222261).

The spelling of 10102160 in words is "ten million, one hundred two thousand, one hundred sixty".