108011 has 2 divisors, whose sum is σ = 108012. Its totient is φ = 108010.

The previous prime is 108007. The next prime is 108013. The reversal of 108011 is 110801.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 108011 - 2² = 108007 is a prime.

It is a super-2 number, since 2×108011² = 23332752242, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 108013, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 107983 and 108001.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108011.

It is not a weakly prime, because it can be changed into another prime (108013) 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, 54005 + 54006.

It is an arithmetic number, because the mean of its divisors is an integer number (54006).

2¹⁰⁸⁰¹¹ is an apocalyptic number.

108011 is a deficient number, since it is larger than the sum of its proper divisors (1).

108011 is an equidigital number, since it uses as much as digits as its factorization.

108011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 108011 is about 328.6502700440. The cubic root of 108011 is about 47.6236483015.

Adding to 108011 its reverse (110801), we get a palindrome (218812).

The spelling of 108011 in words is "one hundred eight thousand, eleven".