102160 has 20 divisors (see below), whose sum is σ = 237708. Its totient is φ = 40832.

The previous prime is 102149. The next prime is 102161. The reversal of 102160 is 61201.

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 50176 = 228^2 + 224^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 559 + ... + 718.

2¹⁰²¹⁶⁰ is an apocalyptic number.

102160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102160 is an abundant number, since it is smaller than the sum of its proper divisors (135548).

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

102160 is a wasteful number, since it uses less digits than its factorization.

102160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 102160 is about 319.6247800156. The cubic root of 102160 is about 46.7477049976.

Adding to 102160 its reverse (61201), we get a palindrome (163361).

It can be divided in two parts, 1021 and 60, that added together give a triangular number (1081 = T₄₆).

The spelling of 102160 in words is "one hundred two thousand, one hundred sixty".