102189303216 has 1440 divisors, whose sum is σ = 421848999936. Its totient is φ = 23710579200.

The previous prime is 102189303199. The next prime is 102189303259. The reversal of 102189303216 is 612303981201.

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

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 3296429121 + ... + 3296429151.

Almost surely, 2^102189303216 is an apocalyptic number.

102189303216 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 102189303216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210924499968).

102189303216 is an abundant number, since it is smaller than the sum of its proper divisors (319659696720).

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

102189303216 is a wasteful number, since it uses less digits than its factorization.

102189303216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 102189303216 in words is "one hundred two billion, one hundred eighty-nine million, three hundred three thousand, two hundred sixteen".