102314034400 has 72 divisors (see below), whose sum is σ = 250131818664. Its totient is φ = 40867008000.

The previous prime is 102314034391. The next prime is 102314034491. The reversal of 102314034400 is 4430413201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469579 + ... + 652021.

It is an arithmetic number, because the mean of its divisors is an integer number (3474053037).

Almost surely, 2^102314034400 is an apocalyptic number.

102314034400 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 102314034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125065909332).

102314034400 is an abundant number, since it is smaller than the sum of its proper divisors (147817784264).

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

102314034400 is a wasteful number, since it uses less digits than its factorization.

102314034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183164 (or 183151 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 102314034400 its reverse (4430413201), we get a palindrome (106744447601).

The spelling of 102314034400 in words is "one hundred two billion, three hundred fourteen million, thirty-four thousand, four hundred".