102414312400 has 60 divisors (see below), whose sum is σ = 246635233804. Its totient is φ = 40868352000.

The previous prime is 102414312383. The next prime is 102414312421. The reversal of 102414312400 is 4213414201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 34226480016 + 68187832384 = 185004^2 + 261128^2 .

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, 135681 + ... + 472480.

Almost surely, 2^102414312400 is an apocalyptic number.

102414312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102414312400 is an abundant number, since it is smaller than the sum of its proper divisors (144220921404).

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

102414312400 is a wasteful number, since it uses less digits than its factorization.

102414312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608600 (or 608589 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 102414312400 its reverse (4213414201), we get a palindrome (106627726601).

The spelling of 102414312400 in words is "one hundred two billion, four hundred fourteen million, three hundred twelve thousand, four hundred".