102304245144000 has 448 divisors, whose sum is σ = 344745719764992. Its totient is φ = 26725400064000.

The previous prime is 102304245143987. The next prime is 102304245144011. The reversal of 102304245144000 is 441542403201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290872249 + ... + 291223751.

It is an arithmetic number, because the mean of its divisors is an integer number (769521695904).

Almost surely, 2^{102304245144000} is an apocalyptic number.

102304245144000 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 102304245144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172372859882496).

102304245144000 is an abundant number, since it is smaller than the sum of its proper divisors (242441474620992).

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

102304245144000 is a wasteful number, since it uses less digits than its factorization.

102304245144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351781 (or 351761 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 102304245144000 its reverse (441542403201), we get a palindrome (102745787547201).

The spelling of 102304245144000 in words is "one hundred two trillion, three hundred four billion, two hundred forty-five million, one hundred forty-four thousand".