102310232424400 has 960 divisors, whose sum is σ = 338283084496896. Its totient is φ = 28701775872000.

The previous prime is 102310232424383. The next prime is 102310232424469. The reversal of 102310232424400 is 4424232013201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10623007585 + ... + 10623017215.

Almost surely, 2^{102310232424400} is an apocalyptic number.

102310232424400 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 102310232424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169141542248448).

102310232424400 is an abundant number, since it is smaller than the sum of its proper divisors (235972852072496).

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

102310232424400 is a wasteful number, since it uses less digits than its factorization.

102310232424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10340 (or 10329 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 102310232424400 its reverse (4424232013201), we get a palindrome (106734464437601).

The spelling of 102310232424400 in words is "one hundred two trillion, three hundred ten billion, two hundred thirty-two million, four hundred twenty-four thousand, four hundred".