10243444434200 has 96 divisors (see below), whose sum is σ = 23890745180160. Its totient is φ = 4084536144000.

The previous prime is 10243444434161. The next prime is 10243444434229. The reversal of 10243444434200 is 243444434201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101928377 + ... + 102028823.

It is an arithmetic number, because the mean of its divisors is an integer number (248861928960).

Almost surely, 2^{10243444434200} is an apocalyptic number.

10243444434200 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 10243444434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11945372590080).

10243444434200 is an abundant number, since it is smaller than the sum of its proper divisors (13647300745960).

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

10243444434200 is a wasteful number, since it uses less digits than its factorization.

10243444434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102057 (or 102048 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 10243444434200 its reverse (243444434201), we get a palindrome (10486888868401).

Subtracting from 10243444434200 its reverse (243444434201), we obtain a palindrome (9999999999999).

The spelling of 10243444434200 in words is "ten trillion, two hundred forty-three billion, four hundred forty-four million, four hundred thirty-four thousand, two hundred".