11006105833 has 2 divisors, whose sum is σ = 11006105834. Its totient is φ = 11006105832.

The previous prime is 11006105771. The next prime is 11006105837. The reversal of 11006105833 is 33850160011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8918346969 + 2087758864 = 94437^2 + 45692^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11006105833 is a prime.

It is a super-2 number, since 2×11006105833² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11006105837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5503052916 + 5503052917.

It is an arithmetic number, because the mean of its divisors is an integer number (5503052917).

Almost surely, 2^11006105833 is an apocalyptic number.

It is an amenable number.

11006105833 is a deficient number, since it is larger than the sum of its proper divisors (1).

11006105833 is an equidigital number, since it uses as much as digits as its factorization.

11006105833 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 11006105833 its reverse (33850160011), we get a palindrome (44856265844).

The spelling of 11006105833 in words is "eleven billion, six million, one hundred five thousand, eight hundred thirty-three".