540588105 has 12 divisors (see below), whose sum is σ = 937019460. Its totient is φ = 288313632.

The previous prime is 540588089. The next prime is 540588109. The reversal of 540588105 is 501885045.

540588105 is a `hidden beast` number, since 540 + 5 + 8 + 8 + 105 = 666.

540588105 is digitally balanced in base 6, 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 2 ways, for example, as 127848249 + 412739856 = 11307^2 + 20316^2 .

It is not a de Polignac number, because 540588105 - 2⁴ = 540588089 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 540588105.

It is not an unprimeable number, because it can be changed into a prime (540588109) 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 11 ways as a sum of consecutive naturals, for example, 6006490 + ... + 6006579.

It is an arithmetic number, because the mean of its divisors is an integer number (78084955).

Almost surely, 2^540588105 is an apocalyptic number.

It is an amenable number.

540588105 is a deficient number, since it is larger than the sum of its proper divisors (396431355).

540588105 is a wasteful number, since it uses less digits than its factorization.

540588105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12013080 (or 12013077 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 540588105 is about 23250.5506386408. The cubic root of 540588105 is about 814.6208004227.

The spelling of 540588105 in words is "five hundred forty million, five hundred eighty-eight thousand, one hundred five".