102504168 has 96 divisors (see below), whose sum is σ = 302320200. Its totient is φ = 31186944.

The previous prime is 102504167. The next prime is 102504179. The reversal of 102504168 is 861405201.

It can be written as a sum of positive squares in 4 ways, for example, as 43797924 + 58706244 = 6618^2 + 7662^2 .

It is not an unprimeable number, because it can be changed into a prime (102504163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90228 + ... + 91356.

Almost surely, 2^102504168 is an apocalyptic number.

102504168 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 102504168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151160100).

102504168 is an abundant number, since it is smaller than the sum of its proper divisors (199816032).

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

102504168 is a wasteful number, since it uses less digits than its factorization.

102504168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 102504168 is about 10124.4342064137. The cubic root of 102504168 is about 468.0014244971.

Adding to 102504168 its reverse (861405201), we get a palindrome (963909369).

The spelling of 102504168 in words is "one hundred two million, five hundred four thousand, one hundred sixty-eight".