105003200224 has 48 divisors (see below), whose sum is σ = 228056940720. Its totient is φ = 47280983040.

The previous prime is 105003200209. The next prime is 105003200231. The reversal of 105003200224 is 422002300501.

It is a super-2 number, since 2×105003200224² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3061134 + ... + 3095245.

It is an arithmetic number, because the mean of its divisors is an integer number (4751186265).

Almost surely, 2^105003200224 is an apocalyptic number.

It is an amenable number.

105003200224 is an abundant number, since it is smaller than the sum of its proper divisors (123053740496).

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

105003200224 is a wasteful number, since it uses less digits than its factorization.

105003200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156443 (or 6156435 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 105003200224 its reverse (422002300501), we get a palindrome (527005500725).

The spelling of 105003200224 in words is "one hundred five billion, three million, two hundred thousand, two hundred twenty-four".