540105127 has 2 divisors, whose sum is σ = 540105128. Its totient is φ = 540105126.

The previous prime is 540105121. The next prime is 540105131. The reversal of 540105127 is 721501045.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 540105127 - 2²³ = 531716519 is a prime.

It is a super-2 number, since 2×540105127² = 583427096423372258, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540105121) by changing a digit.

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 as a sum of consecutive naturals, namely, 270052563 + 270052564.

It is an arithmetic number, because the mean of its divisors is an integer number (270052564).

Almost surely, 2^540105127 is an apocalyptic number.

540105127 is a deficient number, since it is larger than the sum of its proper divisors (1).

540105127 is an equidigital number, since it uses as much as digits as its factorization.

540105127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 540105127 is about 23240.1619400554. The cubic root of 540105127 is about 814.3781257312.

The spelling of 540105127 in words is "five hundred forty million, one hundred five thousand, one hundred twenty-seven".