102288186 has 144 divisors (see below), whose sum is σ = 303252768. Its totient is φ = 24494400.

The previous prime is 102288181. The next prime is 102288187. The reversal of 102288186 is 681882201.

It is a self number, because there is not a number n which added to its sum of digits gives 102288186.

It is not an unprimeable number, because it can be changed into a prime (102288181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125721 + ... + 126531.

It is an arithmetic number, because the mean of its divisors is an integer number (2105922).

Almost surely, 2^102288186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102288186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151626384).

102288186 is an abundant number, since it is smaller than the sum of its proper divisors (200964582).

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

102288186 is a wasteful number, since it uses less digits than its factorization.

102288186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 102288186 is about 10113.7622080015. The cubic root of 102288186 is about 467.6724916595.

The spelling of 102288186 in words is "one hundred two million, two hundred eighty-eight thousand, one hundred eighty-six".