102287593800 has 1344 divisors, whose sum is σ = 435610690560. Its totient is φ = 21835008000.

The previous prime is 102287593789. The next prime is 102287593813. The reversal of 102287593800 is 8395782201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1676845770 + ... + 1676845830.

Almost surely, 2^102287593800 is an apocalyptic number.

102287593800 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 102287593800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217805345280).

102287593800 is an abundant number, since it is smaller than the sum of its proper divisors (333323096760).

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

102287593800 is a wasteful number, since it uses less digits than its factorization.

102287593800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 102287593800 in words is "one hundred two billion, two hundred eighty-seven million, five hundred ninety-three thousand, eight hundred".