103013221344 has 96 divisors (see below), whose sum is σ = 295354200960. Its totient is φ = 31177843200.

The previous prime is 103013221343. The next prime is 103013221357. The reversal of 103013221344 is 443122310301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×103013221344² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103013221343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807567 + ... + 926385.

It is an arithmetic number, because the mean of its divisors is an integer number (3076606260).

Almost surely, 2^103013221344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103013221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147677100480).

103013221344 is an abundant number, since it is smaller than the sum of its proper divisors (192340979616).

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

103013221344 is a wasteful number, since it uses less digits than its factorization.

103013221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119664 (or 119656 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103013221344 its reverse (443122310301), we get a palindrome (546135531645).

The spelling of 103013221344 in words is "one hundred three billion, thirteen million, two hundred twenty-one thousand, three hundred forty-four".