102487711200 has 1152 divisors, whose sum is σ = 414693457920. Its totient is φ = 21493555200.

The previous prime is 102487711199. The next prime is 102487711211. The reversal of 102487711200 is 2117784201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1297312761 + ... + 1297312839.

It is an arithmetic number, because the mean of its divisors is an integer number (359976960).

Almost surely, 2^102487711200 is an apocalyptic number.

102487711200 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 102487711200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207346728960).

102487711200 is an abundant number, since it is smaller than the sum of its proper divisors (312205746720).

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

102487711200 is a wasteful number, since it uses less digits than its factorization.

102487711200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The spelling of 102487711200 in words is "one hundred two billion, four hundred eighty-seven million, seven hundred eleven thousand, two hundred".