105300011 has 2 divisors, whose sum is σ = 105300012. Its totient is φ = 105300010.

The previous prime is 105299993. The next prime is 105300017. The reversal of 105300011 is 110003501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105300011 - 2¹⁰ = 105298987 is a prime.

It is a super-2 number, since 2×105300011² = 22176184633200242, which contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 105299965 and 105300001.

It is not a weakly prime, because it can be changed into another prime (105300017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52650005 + 52650006.

It is an arithmetic number, because the mean of its divisors is an integer number (52650006).

Almost surely, 2^105300011 is an apocalyptic number.

105300011 is a deficient number, since it is larger than the sum of its proper divisors (1).

105300011 is an equidigital number, since it uses as much as digits as its factorization.

105300011 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 11.

The square root of 105300011 is about 10261.5793618721. The cubic root of 105300011 is about 472.2182914326.

Adding to 105300011 its reverse (110003501), we get a palindrome (215303512).

The spelling of 105300011 in words is "one hundred five million, three hundred thousand, eleven".