105540359 has 2 divisors, whose sum is σ = 105540360. Its totient is φ = 105540358.

The previous prime is 105540349. The next prime is 105540389. The reversal of 105540359 is 953045501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105540359 is a prime.

It is a super-2 number, since 2×105540359² = 22277534755697762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105540329) 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, 52770179 + 52770180.

It is an arithmetic number, because the mean of its divisors is an integer number (52770180).

Almost surely, 2^105540359 is an apocalyptic number.

105540359 is a deficient number, since it is larger than the sum of its proper divisors (1).

105540359 is an equidigital number, since it uses as much as digits as its factorization.

105540359 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 105540359 is about 10273.2837496100. The cubic root of 105540359 is about 472.5772989256.

It can be divided in two parts, 1055 and 40359, that added together give a palindrome (41414).

The spelling of 105540359 in words is "one hundred five million, five hundred forty thousand, three hundred fifty-nine".