105310224 has 90 divisors (see below), whose sum is σ = 304936398. Its totient is φ = 33926400.

The previous prime is 105310211. The next prime is 105310259. The reversal of 105310224 is 422013501.

It can be written as a sum of positive squares in only one way, i.e., 55353600 + 49956624 = 7440^2 + 7068^2 .

It is a super-2 number, since 2×105310224² = 22180486557860352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105310197 and 105310206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138004 + ... + 138764.

Almost surely, 2^105310224 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 105310224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152468199).

105310224 is an abundant number, since it is smaller than the sum of its proper divisors (199626174).

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

105310224 is a wasteful number, since it uses less digits than its factorization.

105310224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105310224 is about 10262.0769827555. The cubic root of 105310224 is about 472.2335576846.

Adding to 105310224 its reverse (422013501), we get a palindrome (527323725).

The spelling of 105310224 in words is "one hundred five million, three hundred ten thousand, two hundred twenty-four".