102168 has 64 divisors (see below), whose sum is σ = 316800. Its totient is φ = 30240.

The previous prime is 102161. The next prime is 102181. The reversal of 102168 is 861201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 102168.

It is a congruent number.

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

102168 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, 2355 + ... + 2397.

It is an arithmetic number, because the mean of its divisors is an integer number (4950).

2¹⁰²¹⁶⁸ is an apocalyptic number.

102168 is a gapful number since it is divisible by the number (18) 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 102168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158400).

102168 is an abundant number, since it is smaller than the sum of its proper divisors (214632).

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

102168 is a wasteful number, since it uses less digits than its factorization.

102168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102168 is about 319.6372944448. The cubic root of 102168 is about 46.7489252138.

Adding to 102168 its reverse (861201), we get a palindrome (963369).

It can be divided in two parts, 1021 and 68, that added together give a square (1089 = 33²).

The spelling of 102168 in words is "one hundred two thousand, one hundred sixty-eight".