102443405415000 has 640 divisors, whose sum is σ = 364702397875200. Its totient is φ = 23780655360000.

The previous prime is 102443405414983. The next prime is 102443405415059. The reversal of 102443405415000 is 514504344201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 318274146 + ... + 318595854.

It is an arithmetic number, because the mean of its divisors is an integer number (569847496680).

Almost surely, 2^{102443405415000} is an apocalyptic number.

102443405415000 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 102443405415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182351198937600).

102443405415000 is an abundant number, since it is smaller than the sum of its proper divisors (262258992460200).

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

102443405415000 is a wasteful number, since it uses less digits than its factorization.

102443405415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321845 (or 321826 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 102443405415000 its reverse (514504344201), we get a palindrome (102957909759201).

The spelling of 102443405415000 in words is "one hundred two trillion, four hundred forty-three billion, four hundred five million, four hundred fifteen thousand".