42105330 has 48 divisors (see below), whose sum is σ = 115240320. Its totient is φ = 10636704.

The previous prime is 42105317. The next prime is 42105331. The reversal of 42105330 is 3350124.

42105330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42105331) 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, 10602 + ... + 14021.

It is an arithmetic number, because the mean of its divisors is an integer number (2400840).

Almost surely, 2^42105330 is an apocalyptic number.

42105330 is an abundant number, since it is smaller than the sum of its proper divisors (73134990).

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

42105330 is a wasteful number, since it uses less digits than its factorization.

42105330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24655 (or 24652 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 42105330 is about 6488.8619957586. The cubic root of 42105330 is about 347.8930011911.

Adding to 42105330 its reverse (3350124), we get a palindrome (45455454).

The spelling of 42105330 in words is "forty-two million, one hundred five thousand, three hundred thirty".