102242088288 has 288 divisors, whose sum is σ = 300707316000. Its totient is φ = 32939827200.

The previous prime is 102242088281. The next prime is 102242088391. The reversal of 102242088288 is 882880242201.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102242088281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363850708 + ... + 363850988.

It is an arithmetic number, because the mean of its divisors is an integer number (1044122625).

Almost surely, 2^102242088288 is an apocalyptic number.

102242088288 is a gapful number since it is divisible by the number (18) 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 102242088288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150353658000).

102242088288 is an abundant number, since it is smaller than the sum of its proper divisors (198465227712).

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

102242088288 is a wasteful number, since it uses less digits than its factorization.

102242088288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 102242088288 in words is "one hundred two billion, two hundred forty-two million, eighty-eight thousand, two hundred eighty-eight".