102707625216 has 216 divisors, whose sum is σ = 318756567360. Its totient is φ = 29273481216.

The previous prime is 102707625199. The next prime is 102707625239. The reversal of 102707625216 is 612526707201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16517340 + ... + 16523556.

Almost surely, 2^102707625216 is an apocalyptic number.

102707625216 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 102707625216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159378283680).

102707625216 is an abundant number, since it is smaller than the sum of its proper divisors (216048942144).

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

102707625216 is an equidigital number, since it uses as much as digits as its factorization.

102707625216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6689 (or 6668 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 102707625216 in words is "one hundred two billion, seven hundred seven million, six hundred twenty-five thousand, two hundred sixteen".