105210605224 has 16 divisors (see below), whose sum is σ = 197388962100. Its totient is φ = 52573548672.

The previous prime is 105210605219. The next prime is 105210605251. The reversal of 105210605224 is 422506012501.

It can be written as a sum of positive squares in 2 ways, for example, as 92914013124 + 12296592100 = 304818^2 + 110890^2 .

It is a super-2 number, since 2×105210605224² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105210605192 and 105210605201.

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 3 ways as a sum of consecutive naturals, for example, 3955159 + ... + 3981670.

Almost surely, 2^105210605224 is an apocalyptic number.

It is an amenable number.

105210605224 is a deficient number, since it is larger than the sum of its proper divisors (92178356876).

105210605224 is a wasteful number, since it uses less digits than its factorization.

105210605224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7938492 (or 7938488 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 105210605224 its reverse (422506012501), we get a palindrome (527716617725).

The spelling of 105210605224 in words is "one hundred five billion, two hundred ten million, six hundred five thousand, two hundred twenty-four".