103321224413424 has 160 divisors (see below), whose sum is σ = 297711341326080. Its totient is φ = 34308036576000.

The previous prime is 103321224413423. The next prime is 103321224413437. The reversal of 103321224413424 is 424314422123301.

103321224413424 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 1 + 224 + 4 + 1 + 3 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103321224413423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198445759 + ... + 198965729.

It is an arithmetic number, because the mean of its divisors is an integer number (1860695883288).

Almost surely, 2^{103321224413424} 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 103321224413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148855670663040).

103321224413424 is an abundant number, since it is smaller than the sum of its proper divisors (194390116912656).

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

103321224413424 is a wasteful number, since it uses less digits than its factorization.

103321224413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521756 (or 521744 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 103321224413424 its reverse (424314422123301), we get a palindrome (527635646536725).

The spelling of 103321224413424 in words is "one hundred three trillion, three hundred twenty-one billion, two hundred twenty-four million, four hundred thirteen thousand, four hundred twenty-four".