105611051100949 has 2 divisors, whose sum is σ = 105611051100950. Its totient is φ = 105611051100948.

The previous prime is 105611051100917. The next prime is 105611051101001. The reversal of 105611051100949 is 949001150116501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71159516072100 + 34451535028849 = 8435610^2 + 5869543^2 .

It is an emirp because it is prime and its reverse (949001150116501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105611051100949 - 2⁵ = 105611051100917 is a prime.

It is a super-2 number, since 2×105611051100949² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105611051170949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52805525550474 + 52805525550475.

It is an arithmetic number, because the mean of its divisors is an integer number (52805525550475).

Almost surely, 2^{105611051100949} is an apocalyptic number.

It is an amenable number.

105611051100949 is a deficient number, since it is larger than the sum of its proper divisors (1).

105611051100949 is an equidigital number, since it uses as much as digits as its factorization.

105611051100949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48600, while the sum is 43.

The spelling of 105611051100949 in words is "one hundred five trillion, six hundred eleven billion, fifty-one million, one hundred thousand, nine hundred forty-nine".