102888180 has 36 divisors (see below), whose sum is σ = 312094692. Its totient is φ = 27436800.

The previous prime is 102888169. The next prime is 102888187. The reversal of 102888180 is 81888201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11532816 + 91355364 = 3396^2 + 9558^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102888187) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285621 + ... + 285980.

It is an arithmetic number, because the mean of its divisors is an integer number (8669297).

Almost surely, 2^102888180 is an apocalyptic number.

102888180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102888180 is an abundant number, since it is smaller than the sum of its proper divisors (209206512).

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

102888180 is a wasteful number, since it uses less digits than its factorization.

102888180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571616 (or 571611 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 102888180 is about 10143.3810931070. The cubic root of 102888180 is about 468.5851217458.

The spelling of 102888180 in words is "one hundred two million, eight hundred eighty-eight thousand, one hundred eighty".