42024105 has 48 divisors (see below), whose sum is σ = 80046720. Its totient is φ = 20300544.

The previous prime is 42024089. The next prime is 42024121. The reversal of 42024105 is 50142024.

42024105 is a `hidden beast` number, since 420 + 241 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (42024089) and next prime (42024121).

It is not a de Polignac number, because 42024105 - 2⁴ = 42024089 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 47 ways as a sum of consecutive naturals, for example, 18597 + ... + 20733.

It is an arithmetic number, because the mean of its divisors is an integer number (1667640).

Almost surely, 2^42024105 is an apocalyptic number.

42024105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42024105 is a deficient number, since it is larger than the sum of its proper divisors (38022615).

42024105 is a wasteful number, since it uses less digits than its factorization.

42024105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2187 counting only the distinct ones).

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

The square root of 42024105 is about 6482.6001727702. The cubic root of 42024105 is about 347.6691514709.

Adding to 42024105 its reverse (50142024), we get a palindrome (92166129).

The spelling of 42024105 in words is "forty-two million, twenty-four thousand, one hundred five".