102687989760 has 784 divisors, whose sum is σ = 391080558960. Its totient is φ = 25798901760.

The previous prime is 102687989717. The next prime is 102687989801. The reversal of 102687989760 is 67989786201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 567336870 + ... + 567337050.

Almost surely, 2^102687989760 is an apocalyptic number.

102687989760 is a gapful number since it is divisible by the number (10) 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 102687989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195540279480).

102687989760 is an abundant number, since it is smaller than the sum of its proper divisors (288392569200).

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

102687989760 is an frugal number, since it uses more digits than its factorization.

102687989760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 102687989760 in words is "one hundred two billion, six hundred eighty-seven million, nine hundred eighty-nine thousand, seven hundred sixty".