105016424 has 32 divisors (see below), whose sum is σ = 208051200. Its totient is φ = 49613760.

The previous prime is 105016409. The next prime is 105016433. The reversal of 105016424 is 424610501.

It is a super-2 number, since 2×105016424² = 22056898619495552, which contains 22 as substring.

Together with 103034776 it forms an amicable pair .

It is a self number, because there is not a number n which added to its sum of digits gives 105016424.

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 7 ways as a sum of consecutive naturals, for example, 6089 + ... + 15719.

It is an arithmetic number, because the mean of its divisors is an integer number (6501600).

Almost surely, 2^105016424 is an apocalyptic number.

It is an amenable number.

105016424 is a deficient number, since it is larger than the sum of its proper divisors (103034776).

105016424 is a wasteful number, since it uses less digits than its factorization.

105016424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9713 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 105016424 is about 10247.7521437630. The cubic root of 105016424 is about 471.7939946559.

Adding to 105016424 its reverse (424610501), we get a palindrome (529626925).

The spelling of 105016424 in words is "one hundred five million, sixteen thousand, four hundred twenty-four".