102430310400 has 768 divisors, whose sum is σ = 411517857600. Its totient is φ = 24772608000.

The previous prime is 102430310243. The next prime is 102430310407. The reversal of 102430310400 is 4013034201.

102430310400 is a `hidden beast` number, since 10 + 243 + 0 + 3 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102430310407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243302190 + ... + 243302610.

Almost surely, 2^102430310400 is an apocalyptic number.

102430310400 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 102430310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205758928800).

102430310400 is an abundant number, since it is smaller than the sum of its proper divisors (309087547200).

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

102430310400 is an equidigital number, since it uses as much as digits as its factorization.

102430310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102430310400 its reverse (4013034201), we get a palindrome (106443344601).

The spelling of 102430310400 in words is "one hundred two billion, four hundred thirty million, three hundred ten thousand, four hundred".