102412303432400 has 120 divisors (see below), whose sum is σ = 265104719712000. Its totient is φ = 37794853393920.

The previous prime is 102412303432357. The next prime is 102412303432423. The reversal of 102412303432400 is 4234303214201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5468669 + ... + 15320931.

It is an arithmetic number, because the mean of its divisors is an integer number (2209205997600).

Almost surely, 2^{102412303432400} is an apocalyptic number.

102412303432400 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 102412303432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132552359856000).

102412303432400 is an abundant number, since it is smaller than the sum of its proper divisors (162692416279600).

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

102412303432400 is a wasteful number, since it uses less digits than its factorization.

102412303432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9854293 (or 9854282 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 102412303432400 its reverse (4234303214201), we get a palindrome (106646606646601).

The spelling of 102412303432400 in words is "one hundred two trillion, four hundred twelve billion, three hundred three million, four hundred thirty-two thousand, four hundred".