540405105 has 32 divisors (see below), whose sum is σ = 881020800. Its totient is φ = 282811392.

The previous prime is 540405097. The next prime is 540405143. The reversal of 540405105 is 501504045.

540405105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 540405105 - 2³ = 540405097 is a prime.

It is a super-2 number, since 2×540405105² = 584075355020122050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173401 + ... + 176489.

It is an arithmetic number, because the mean of its divisors is an integer number (27531900).

Almost surely, 2^540405105 is an apocalyptic number.

It is an amenable number.

540405105 is a deficient number, since it is larger than the sum of its proper divisors (340615695).

540405105 is a wasteful number, since it uses less digits than its factorization.

540405105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313.

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 540405105 is about 23246.6149148645. The cubic root of 540405105 is about 814.5288681795.

The spelling of 540405105 in words is "five hundred forty million, four hundred five thousand, one hundred five".