102288096 has 240 divisors, whose sum is σ = 331752960. Its totient is φ = 30792960.

The previous prime is 102288089. The next prime is 102288097. The reversal of 102288096 is 690882201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102288096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102288097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1526655 + ... + 1526721.

It is an arithmetic number, because the mean of its divisors is an integer number (1382304).

Almost surely, 2^102288096 is an apocalyptic number.

102288096 is a gapful number since it is divisible by the number (16) 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 102288096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165876480).

102288096 is an abundant number, since it is smaller than the sum of its proper divisors (229464864).

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

102288096 is a wasteful number, since it uses less digits than its factorization.

102288096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 102288096 is about 10113.7577586177. The cubic root of 102288096 is about 467.6723544963.

The spelling of 102288096 in words is "one hundred two million, two hundred eighty-eight thousand, ninety-six".