42105505 has 16 divisors (see below), whose sum is σ = 54749520. Its totient is φ = 31085184.

The previous prime is 42105493. The next prime is 42105523. The reversal of 42105505 is 50550124.

It can be written as a sum of positive squares in 8 ways, for example, as 36578304 + 5527201 = 6048^2 + 2351^2 .

It is not a de Polignac number, because 42105505 - 2²³ = 33716897 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 9069 + ... + 12901.

It is an arithmetic number, because the mean of its divisors is an integer number (3421845).

Almost surely, 2^42105505 is an apocalyptic number.

It is an amenable number.

42105505 is a deficient number, since it is larger than the sum of its proper divisors (12644015).

42105505 is an equidigital number, since it uses as much as digits as its factorization.

42105505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 42105505 is about 6488.8754803895. The cubic root of 42105505 is about 347.8934831664.

Adding to 42105505 its reverse (50550124), we get a palindrome (92655629).

The spelling of 42105505 in words is "forty-two million, one hundred five thousand, five hundred five".