105540311 has 2 divisors, whose sum is σ = 105540312. Its totient is φ = 105540310.

The previous prime is 105540271. The next prime is 105540329. The reversal of 105540311 is 113045501.

It is a strong prime.

It is an emirp because it is prime and its reverse (113045501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105540311 - 2¹⁴ = 105523927 is a prime.

It is a super-2 number, since 2×105540311² = 22277514491953442, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105540511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52770155 + 52770156.

It is an arithmetic number, because the mean of its divisors is an integer number (52770156).

Almost surely, 2^105540311 is an apocalyptic number.

105540311 is a deficient number, since it is larger than the sum of its proper divisors (1).

105540311 is an equidigital number, since it uses as much as digits as its factorization.

105540311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105540311 is about 10273.2814134531. The cubic root of 105540311 is about 472.5772272825.

Adding to 105540311 its reverse (113045501), we get a palindrome (218585812).

The spelling of 105540311 in words is "one hundred five million, five hundred forty thousand, three hundred eleven".