102344104200 has 384 divisors, whose sum is σ = 365582851200. Its totient is φ = 23473152000.

The previous prime is 102344104169. The next prime is 102344104201. The reversal of 102344104200 is 2401443201.

It is not an unprimeable number, because it can be changed into a prime (102344104201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9034540 + ... + 9045860.

It is an arithmetic number, because the mean of its divisors is an integer number (952038675).

Almost surely, 2^102344104200 is an apocalyptic number.

102344104200 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 102344104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182791425600).

102344104200 is an abundant number, since it is smaller than the sum of its proper divisors (263238747000).

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

102344104200 is a wasteful number, since it uses less digits than its factorization.

102344104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11433 (or 11424 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 102344104200 its reverse (2401443201), we get a palindrome (104745547401).

The spelling of 102344104200 in words is "one hundred two billion, three hundred forty-four million, one hundred four thousand, two hundred".