103332310400224 has 96 divisors (see below), whose sum is σ = 214069728549600. Its totient is φ = 49034505461760.

The previous prime is 103332310400197. The next prime is 103332310400233. The reversal of 103332310400224 is 422004013233301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103332310400192 and 103332310400201.

It is a congruent number.

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, 262863532 + ... + 263256340.

It is an arithmetic number, because the mean of its divisors is an integer number (2229893005725).

Almost surely, 2^{103332310400224} 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 103332310400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107034864274800).

103332310400224 is an abundant number, since it is smaller than the sum of its proper divisors (110737418149376).

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

103332310400224 is a wasteful number, since it uses less digits than its factorization.

103332310400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398316 (or 398308 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 103332310400224 its reverse (422004013233301), we get a palindrome (525336323633525).

The spelling of 103332310400224 in words is "one hundred three trillion, three hundred thirty-two billion, three hundred ten million, four hundred thousand, two hundred twenty-four".