540105 has 8 divisors (see below), whose sum is σ = 864192. Its totient is φ = 288048.

The previous prime is 540101. The next prime is 540119. The reversal of 540105 is 501045.

540105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 540105 - 2² = 540101 is a prime.

It is a super-2 number, since 2×540105² = 583426822050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 36007 = 540105 / (5 + 4 + 0 + 1 + 0 + 5).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (540101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17989 + ... + 18018.

It is an arithmetic number, because the mean of its divisors is an integer number (108024).

2⁵⁴⁰¹⁰⁵ is an apocalyptic number.

It is an amenable number.

540105 is a deficient number, since it is larger than the sum of its proper divisors (324087).

540105 is a wasteful number, since it uses less digits than its factorization.

540105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36015.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 540105 is about 734.9183628132. The cubic root of 540105 is about 81.4378061900.

Subtracting from 540105 its reverse (501045), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 540105 in words is "five hundred forty thousand, one hundred five".