102281883735800 has 96 divisors (see below), whose sum is σ = 238783134036720. Its totient is φ = 40744814745600.

The previous prime is 102281883735769. The next prime is 102281883735821. The reversal of 102281883735800 is 8537388182201.

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, 58244615 + ... + 59974985.

Almost surely, 2^{102281883735800} is an apocalyptic number.

102281883735800 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 102281883735800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119391567018360).

102281883735800 is an abundant number, since it is smaller than the sum of its proper divisors (136501250300920).

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

102281883735800 is a wasteful number, since it uses less digits than its factorization.

102281883735800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731601 (or 1731592 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 56.

The spelling of 102281883735800 in words is "one hundred two trillion, two hundred eighty-one billion, eight hundred eighty-three million, seven hundred thirty-five thousand, eight hundred".