105733424 has 40 divisors (see below), whose sum is σ = 212330160. Its totient is φ = 50969600.

The previous prime is 105733399. The next prime is 105733427. The reversal of 105733424 is 424337501.

It is a happy number.

It is a super-2 number, since 2×105733424² = 22359113901527552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105733427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57479 + ... + 59289.

It is an arithmetic number, because the mean of its divisors is an integer number (5308254).

Almost surely, 2^105733424 is an apocalyptic number.

It is an amenable number.

105733424 is an abundant number, since it is smaller than the sum of its proper divisors (106596736).

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

105733424 is a wasteful number, since it uses less digits than its factorization.

105733424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 105733424 is about 10282.6759163167. The cubic root of 105733424 is about 472.8652853085.

The spelling of 105733424 in words is "one hundred five million, seven hundred thirty-three thousand, four hundred twenty-four".