105336324 has 36 divisors (see below), whose sum is σ = 267977164. Its totient is φ = 34886592.

The previous prime is 105336317. The next prime is 105336331. The reversal of 105336324 is 423633501.

It is a happy number.

105336324 is a `hidden beast` number, since 1 + 0 + 5 + 336 + 324 = 666.

It is an interprime number because it is at equal distance from previous prime (105336317) and next prime (105336331).

It can be written as a sum of positive squares in 2 ways, for example, as 9922500 + 95413824 = 3150^2 + 9768^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105336324² = 22191482307665952, which contains 22 as substring.

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 in 11 ways as a sum of consecutive naturals, for example, 3667 + ... + 14970.

Almost surely, 2^105336324 is an apocalyptic number.

It is an amenable number.

105336324 is an abundant number, since it is smaller than the sum of its proper divisors (162640840).

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

105336324 is a wasteful number, since it uses less digits than its factorization.

105336324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18804 (or 18799 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 105336324 is about 10263.3485763663. The cubic root of 105336324 is about 472.2725671220.

Adding to 105336324 its reverse (423633501), we get a palindrome (528969825).

The spelling of 105336324 in words is "one hundred five million, three hundred thirty-six thousand, three hundred twenty-four".