105321224 has 8 divisors (see below), whose sum is σ = 197477310. Its totient is φ = 52660608.

The previous prime is 105321193. The next prime is 105321247. The reversal of 105321224 is 422123501.

It can be written as a sum of positive squares in only one way, i.e., 86676100 + 18645124 = 9310^2 + 4318^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105321224² = 22185120449716352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105321196 and 105321205.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6582569 + ... + 6582584.

Almost surely, 2^105321224 is an apocalyptic number.

It is an amenable number.

105321224 is a deficient number, since it is larger than the sum of its proper divisors (92156086).

105321224 is a wasteful number, since it uses less digits than its factorization.

105321224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13165159 (or 13165155 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 105321224 is about 10262.6129226430. The cubic root of 105321224 is about 472.2499992293.

Adding to 105321224 its reverse (422123501), we get a palindrome (527444725).

The spelling of 105321224 in words is "one hundred five million, three hundred twenty-one thousand, two hundred twenty-four".