42654105 has 48 divisors (see below), whose sum is σ = 84324240. Its totient is φ = 19759104.

The previous prime is 42654083. The next prime is 42654133. The reversal of 42654105 is 50145624.

42654105 is a `hidden beast` number, since 4 + 2 + 654 + 1 + 0 + 5 = 666.

42654105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 974169 + 41679936 = 987^2 + 6456^2 .

It is not a de Polignac number, because 42654105 - 2⁷ = 42653977 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7801 + ... + 12089.

It is an arithmetic number, because the mean of its divisors is an integer number (1756755).

Almost surely, 2^42654105 is an apocalyptic number.

42654105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42654105 is a deficient number, since it is larger than the sum of its proper divisors (41670135).

42654105 is a wasteful number, since it uses less digits than its factorization.

42654105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4327 counting only the distinct ones).

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

The square root of 42654105 is about 6531.0110243361. The cubic root of 42654105 is about 349.3978899454.

Adding to 42654105 its reverse (50145624), we get a palindrome (92799729).

The spelling of 42654105 in words is "forty-two million, six hundred fifty-four thousand, one hundred five".