102988608307200 has 5832 divisors, whose sum is σ = 512565984927360. Its totient is φ = 19619905536000.

The previous prime is 102988608307159. The next prime is 102988608307217. The reversal of 102988608307200 is 2703806889201.

It is a happy number.

102988608307200 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 8 + 8 + 608 + 3 + 0 + 7 + 20 + 0 = 666.

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 323 ways as a sum of consecutive naturals, for example, 3322213171185 + ... + 3322213171215.

Almost surely, 2^{102988608307200} is an apocalyptic number.

102988608307200 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 102988608307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256282992463680).

102988608307200 is an abundant number, since it is smaller than the sum of its proper divisors (409577376620160).

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

102988608307200 is a wasteful number, since it uses less digits than its factorization.

102988608307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 102988608307200 in words is "one hundred two trillion, nine hundred eighty-eight billion, six hundred eight million, three hundred seven thousand, two hundred".