105116224 has 14 divisors (see below), whose sum is σ = 208590134. Its totient is φ = 52558080.

The previous prime is 105116197. The next prime is 105116239. The reversal of 105116224 is 422611501.

It can be written as a sum of positive squares in only one way, i.e., 99201600 + 5914624 = 9960^2 + 2432^2 .

It is a super-2 number, since 2×105116224² = 22098841096036352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105116195 and 105116204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 821157 + ... + 821284.

Almost surely, 2^105116224 is an apocalyptic number.

It is an amenable number.

105116224 is a deficient number, since it is larger than the sum of its proper divisors (103473910).

105116224 is an equidigital number, since it uses as much as digits as its factorization.

105116224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642453 (or 1642443 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 105116224 is about 10252.6203479891. The cubic root of 105116224 is about 471.9434002801.

Adding to 105116224 its reverse (422611501), we get a palindrome (527727725).

The spelling of 105116224 in words is "one hundred five million, one hundred sixteen thousand, two hundred twenty-four".