102002431400 has 24 divisors (see below), whose sum is σ = 237155653470. Its totient is φ = 40800972480.

The previous prime is 102002431397. The next prime is 102002431451. The reversal of 102002431400 is 4134200201.

102002431400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 46184588836 + 55817842564 = 214906^2 + 236258^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255005879 + ... + 255006278.

Almost surely, 2^102002431400 is an apocalyptic number.

102002431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002431400 is an abundant number, since it is smaller than the sum of its proper divisors (135153222070).

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

102002431400 is a wasteful number, since it uses less digits than its factorization.

102002431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510012173 (or 510012164 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 102002431400 its reverse (4134200201), we get a palindrome (106136631601).

The spelling of 102002431400 in words is "one hundred two billion, two million, four hundred thirty-one thousand, four hundred".