42564105 has 24 divisors (see below), whose sum is σ = 73944000. Its totient is φ = 22649760.

The previous prime is 42564103. The next prime is 42564121. The reversal of 42564105 is 50146524.

It is not a de Polignac number, because 42564105 - 2¹ = 42564103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42564101) 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 23 ways as a sum of consecutive naturals, for example, 27646 + ... + 29144.

It is an arithmetic number, because the mean of its divisors is an integer number (3081000).

Almost surely, 2^42564105 is an apocalyptic number.

42564105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42564105 is a deficient number, since it is larger than the sum of its proper divisors (31379895).

42564105 is a wasteful number, since it uses less digits than its factorization.

42564105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42564105 is about 6524.1171816576. The cubic root of 42564105 is about 349.1519741623.

The spelling of 42564105 in words is "forty-two million, five hundred sixty-four thousand, one hundred five".