102745248883200 has 4320 divisors, whose sum is σ = 502263958584960. Its totient is φ = 19418185728000.

The previous prime is 102745248883181. The next prime is 102745248883247. The reversal of 102745248883200 is 2388842547201.

It is a happy number.

102745248883200 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 4 + 524 + 8 + 88 + 32 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 144915724446 + ... + 144915725154.

It is an arithmetic number, because the mean of its divisors is an integer number (116264805228).

Almost surely, 2^{102745248883200} is an apocalyptic number.

102745248883200 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 102745248883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251131979292480).

102745248883200 is an abundant number, since it is smaller than the sum of its proper divisors (399518709701760).

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

102745248883200 is a wasteful number, since it uses less digits than its factorization.

102745248883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 102745248883200 in words is "one hundred two trillion, seven hundred forty-five billion, two hundred forty-eight million, eight hundred eighty-three thousand, two hundred".