103402222100224 has 72 divisors (see below), whose sum is σ = 207993222042480. Its totient is φ = 51303690240000.

The previous prime is 103402222100213. The next prime is 103402222100297. The reversal of 103402222100224 is 422001222204301.

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 7 ways as a sum of consecutive naturals, for example, 14293744 + ... + 20275984.

It is an arithmetic number, because the mean of its divisors is an integer number (2888794750590).

Almost surely, 2^{103402222100224} 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 103402222100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103996611021240).

103402222100224 is an abundant number, since it is smaller than the sum of its proper divisors (104590999942256).

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

103402222100224 is an equidigital number, since it uses as much as digits as its factorization.

103402222100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982777 (or 5982763 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 103402222100224 its reverse (422001222204301), we get a palindrome (525403444304525).

The spelling of 103402222100224 in words is "one hundred three trillion, four hundred two billion, two hundred twenty-two million, one hundred thousand, two hundred twenty-four".