102442310440300 has 144 divisors (see below), whose sum is σ = 228097060853760. Its totient is φ = 39922176360960.

The previous prime is 102442310440279. The next prime is 102442310440331. The reversal of 102442310440300 is 3044013244201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5646373029 + ... + 5646391171.

It is an arithmetic number, because the mean of its divisors is an integer number (1584007367040).

Almost surely, 2^{102442310440300} is an apocalyptic number.

102442310440300 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 102442310440300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114048530426880).

102442310440300 is an abundant number, since it is smaller than the sum of its proper divisors (125654750413460).

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

102442310440300 is a wasteful number, since it uses less digits than its factorization.

102442310440300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27632 (or 27625 counting only the distinct ones).

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

Adding to 102442310440300 its reverse (3044013244201), we get a palindrome (105486323684501).

The spelling of 102442310440300 in words is "one hundred two trillion, four hundred forty-two billion, three hundred ten million, four hundred forty thousand, three hundred".