10244434200 has 768 divisors, whose sum is σ = 43887191040. Its totient is φ = 1907712000.

The previous prime is 10244434177. The next prime is 10244434217. The reversal of 10244434200 is 243444201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22221970 + ... + 22222430.

It is an arithmetic number, because the mean of its divisors is an integer number (57144780).

Almost surely, 2^10244434200 is an apocalyptic number.

10244434200 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 10244434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21943595520).

10244434200 is an abundant number, since it is smaller than the sum of its proper divisors (33642756840).

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

10244434200 is a wasteful number, since it uses less digits than its factorization.

10244434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10244434200 its reverse (243444201), we get a palindrome (10487878401).

It can be divided in two parts, 10244 and 434200, that added together give a palindrome (444444).

The spelling of 10244434200 in words is "ten billion, two hundred forty-four million, four hundred thirty-four thousand, two hundred".