102189568 has 60 divisors (see below), whose sum is σ = 221281038. Its totient is φ = 47124480.

The previous prime is 102189557. The next prime is 102189569. The reversal of 102189568 is 865981201.

It can be written as a sum of positive squares in 3 ways, for example, as 75481344 + 26708224 = 8688^2 + 5168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102189568.

It is not an unprimeable number, because it can be changed into a prime (102189569) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85938 + ... + 87118.

Almost surely, 2^102189568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102189568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110640519).

102189568 is an abundant number, since it is smaller than the sum of its proper divisors (119091470).

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

102189568 is an equidigital number, since it uses as much as digits as its factorization.

102189568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The square root of 102189568 is about 10108.8855963454. The cubic root of 102189568 is about 467.5221459954.

The spelling of 102189568 in words is "one hundred two million, one hundred eighty-nine thousand, five hundred sixty-eight".