42105305 has 16 divisors (see below), whose sum is σ = 55880064. Its totient is φ = 30199680.

The previous prime is 42105263. The next prime is 42105313. The reversal of 42105305 is 50350124.

42105305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42105305 - 2¹⁰ = 42104281 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1229 + ... + 9258.

It is an arithmetic number, because the mean of its divisors is an integer number (3492504).

Almost surely, 2^42105305 is an apocalyptic number.

It is an amenable number.

42105305 is a deficient number, since it is larger than the sum of its proper divisors (13774759).

42105305 is a wasteful number, since it uses less digits than its factorization.

42105305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10576.

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 42105305 is about 6488.8600693804. The cubic root of 42105305 is about 347.8929323374.

Adding to 42105305 its reverse (50350124), we get a palindrome (92455429).

The spelling of 42105305 in words is "forty-two million, one hundred five thousand, three hundred five".