105333424 has 20 divisors (see below), whose sum is σ = 233238544. Its totient is φ = 45142848.

The previous prime is 105333407. The next prime is 105333427. The reversal of 105333424 is 424333501.

It is a super-2 number, since 2×105333424² = 22190260423127552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105333427) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 470127 + ... + 470350.

Almost surely, 2^105333424 is an apocalyptic number.

105333424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105333424 is an abundant number, since it is smaller than the sum of its proper divisors (127905120).

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

105333424 is an equidigital number, since it uses as much as digits as its factorization.

105333424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940492 (or 940486 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 105333424 is about 10263.2072959675. The cubic root of 105333424 is about 472.2682330583.

Adding to 105333424 its reverse (424333501), we get a palindrome (529666925).

The spelling of 105333424 in words is "one hundred five million, three hundred thirty-three thousand, four hundred twenty-four".