105111103 has 2 divisors, whose sum is σ = 105111104. Its totient is φ = 105111102.

The previous prime is 105111101. The next prime is 105111121. The reversal of 105111103 is 301111501.

It is a weak prime.

It is an emirp because it is prime and its reverse (301111501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105111103 - 2¹ = 105111101 is a prime.

It is a super-2 number, since 2×105111103² = 22096687947753218, which contains 22 as substring.

Together with 105111101, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52555551 + 52555552.

It is an arithmetic number, because the mean of its divisors is an integer number (52555552).

Almost surely, 2^105111103 is an apocalyptic number.

105111103 is a deficient number, since it is larger than the sum of its proper divisors (1).

105111103 is an equidigital number, since it uses as much as digits as its factorization.

105111103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 13.

The square root of 105111103 is about 10252.3706039140. The cubic root of 105111103 is about 471.9357361875.

Adding to 105111103 its reverse (301111501), we get a palindrome (406222604).

The spelling of 105111103 in words is "one hundred five million, one hundred eleven thousand, one hundred three".