103224013444000 has 96 divisors (see below), whose sum is σ = 253696625831376. Its totient is φ = 41277358771200.

The previous prime is 103224013443961. The next prime is 103224013444031. The reversal of 103224013444000 is 444310422301.

It can be written as a sum of positive squares in 8 ways, for example, as 64662248368656 + 38561765075344 = 8041284^2 + 6209812^2 .

It is a super-2 number, since 2×103224013444000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103224013444000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9666622 + ... + 17317378.

Almost surely, 2^{103224013444000} is an apocalyptic number.

103224013444000 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 103224013444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126848312915688).

103224013444000 is an abundant number, since it is smaller than the sum of its proper divisors (150472612387376).

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

103224013444000 is an equidigital number, since it uses as much as digits as its factorization.

103224013444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654155 (or 7654137 counting only the distinct ones).

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

Adding to 103224013444000 its reverse (444310422301), we get a palindrome (103668323866301).

The spelling of 103224013444000 in words is "one hundred three trillion, two hundred twenty-four billion, thirteen million, four hundred forty-four thousand".