102516180 has 48 divisors (see below), whose sum is σ = 309128064. Its totient is φ = 25234560.

The previous prime is 102516179. The next prime is 102516187. The reversal of 102516180 is 81615201.

It is a self number, because there is not a number n which added to its sum of digits gives 102516180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102516187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64936 + ... + 66495.

It is an arithmetic number, because the mean of its divisors is an integer number (6440168).

Almost surely, 2^102516180 is an apocalyptic number.

102516180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102516180 is an abundant number, since it is smaller than the sum of its proper divisors (206611884).

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

102516180 is a wasteful number, since it uses less digits than its factorization.

102516180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131456 (or 131454 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 102516180 is about 10125.0274073703. The cubic root of 102516180 is about 468.0197047734.

It can be divided in two parts, 1025 and 16180, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 102516180 in words is "one hundred two million, five hundred sixteen thousand, one hundred eighty".