105606101011 has 2 divisors, whose sum is σ = 105606101012. Its totient is φ = 105606101010.

The previous prime is 105606100967. The next prime is 105606101089. The reversal of 105606101011 is 110101606501.

It is a weak prime.

It is an emirp because it is prime and its reverse (110101606501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105606101011 - 2¹¹ = 105606098963 is a prime.

It is a super-3 number, since 3×105606101011³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (105606101611) 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, 52803050505 + 52803050506.

It is an arithmetic number, because the mean of its divisors is an integer number (52803050506).

Almost surely, 2^105606101011 is an apocalyptic number.

105606101011 is a deficient number, since it is larger than the sum of its proper divisors (1).

105606101011 is an equidigital number, since it uses as much as digits as its factorization.

105606101011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 105606101011 its reverse (110101606501), we get a palindrome (215707707512).

The spelling of 105606101011 in words is "one hundred five billion, six hundred six million, one hundred one thousand, eleven".