102093838300 has 72 divisors (see below), whose sum is σ = 234682104384. Its totient is φ = 38417879040.

The previous prime is 102093838289. The next prime is 102093838321. The reversal of 102093838300 is 3838390201.

It is a self number, because there is not a number n which added to its sum of digits gives 102093838300.

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, 4096477 + ... + 4121323.

It is an arithmetic number, because the mean of its divisors is an integer number (3259473672).

Almost surely, 2^102093838300 is an apocalyptic number.

102093838300 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 102093838300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117341052192).

102093838300 is an abundant number, since it is smaller than the sum of its proper divisors (132588266084).

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

102093838300 is a wasteful number, since it uses less digits than its factorization.

102093838300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27295 (or 27288 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 102093838300 in words is "one hundred two billion, ninety-three million, eight hundred thirty-eight thousand, three hundred".