42042105 has 64 divisors (see below), whose sum is σ = 90478080. Its totient is φ = 18081792.

The previous prime is 42042103. The next prime is 42042109. The reversal of 42042105 is 50124024.

It is not a de Polignac number, because 42042105 - 2¹ = 42042103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42042103) 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 63 ways as a sum of consecutive naturals, for example, 14757 + ... + 17373.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 2^42042105 is an apocalyptic number.

42042105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42042105 is an abundant number, since it is smaller than the sum of its proper divisors (48435975).

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

42042105 is a wasteful number, since it uses less digits than its factorization.

42042105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42042105 is about 6483.9883559427. The cubic root of 42042105 is about 347.7187829181.

Adding to 42042105 its reverse (50124024), we get a palindrome (92166129).

The spelling of 42042105 in words is "forty-two million, forty-two thousand, one hundred five".