102251883360 has 96 divisors (see below), whose sum is σ = 351374671872. Its totient is φ = 24788334080.

The previous prime is 102251883359. The next prime is 102251883367. The reversal of 102251883360 is 63388152201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102251883367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9677664 + ... + 9688223.

It is an arithmetic number, because the mean of its divisors is an integer number (3660152832).

Almost surely, 2^102251883360 is an apocalyptic number.

102251883360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102251883360 is an abundant number, since it is smaller than the sum of its proper divisors (249122788512).

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

102251883360 is a wasteful number, since it uses less digits than its factorization.

102251883360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19365916 (or 19365908 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 102251883360 in words is "one hundred two billion, two hundred fifty-one million, eight hundred eighty-three thousand, three hundred sixty".