102431314200 has 384 divisors, whose sum is σ = 350445427200. Its totient is φ = 24634368000.

The previous prime is 102431314169. The next prime is 102431314261. The reversal of 102431314200 is 2413134201.

102431314200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63189390 + ... + 63191010.

It is an arithmetic number, because the mean of its divisors is an integer number (912618300).

Almost surely, 2^102431314200 is an apocalyptic number.

102431314200 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 102431314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175222713600).

102431314200 is an abundant number, since it is smaller than the sum of its proper divisors (248014113000).

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

102431314200 is a wasteful number, since it uses less digits than its factorization.

102431314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102431314200 its reverse (2413134201), we get a palindrome (104844448401).

The spelling of 102431314200 in words is "one hundred two billion, four hundred thirty-one million, three hundred fourteen thousand, two hundred".