102931987200 has 648 divisors, whose sum is σ = 405974922192. Its totient is φ = 22883696640.

The previous prime is 102931987199. The next prime is 102931987217. The reversal of 102931987200 is 2789139201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34808122 + ... + 34811078.

Almost surely, 2^102931987200 is an apocalyptic number.

102931987200 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 102931987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202987461096).

102931987200 is an abundant number, since it is smaller than the sum of its proper divisors (303042934992).

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

102931987200 is a wasteful number, since it uses less digits than its factorization.

102931987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 102931987200 in words is "one hundred two billion, nine hundred thirty-one million, nine hundred eighty-seven thousand, two hundred".