102180 has 48 divisors (see below), whose sum is σ = 310464. Its totient is φ = 24960.

The previous prime is 102161. The next prime is 102181. The reversal of 102180 is 81201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (102181) by changing a digit.

102180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (6468).

2¹⁰²¹⁸⁰ is an apocalyptic number.

102180 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 102180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155232).

102180 is an abundant number, since it is smaller than the sum of its proper divisors (208284).

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

102180 is a wasteful number, since it uses less digits than its factorization.

102180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 102180 is about 319.6560651701. The cubic root of 102180 is about 46.7507554188.

102180 divided by its sum of digits (12) gives a triangular number (8515 = T₁₃₀).

Adding to 102180 its reverse (81201), we get a palindrome (183381).

It can be divided in two parts, 102 and 180, that added together give a palindrome (282).

The spelling of 102180 in words is "one hundred two thousand, one hundred eighty".