42105735 has 24 divisors (see below), whose sum is σ = 83410080. Its totient is φ = 19248192.

The previous prime is 42105731. The next prime is 42105737. The reversal of 42105735 is 53750124.

It is a happy number.

42105735 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 42105735 - 2² = 42105731 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42105699 and 42105708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105731) 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 23 ways as a sum of consecutive naturals, for example, 66520 + ... + 67149.

It is an arithmetic number, because the mean of its divisors is an integer number (3475420).

Almost surely, 2^42105735 is an apocalyptic number.

42105735 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42105735 is a deficient number, since it is larger than the sum of its proper divisors (41304345).

42105735 is a wasteful number, since it uses less digits than its factorization.

42105735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133687 (or 133684 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 42105735 is about 6488.8932030047. The cubic root of 42105735 is about 347.8941166177.

Adding to 42105735 its reverse (53750124), we get a palindrome (95855859).

The spelling of 42105735 in words is "forty-two million, one hundred five thousand, seven hundred thirty-five".