105110055601 has 2 divisors, whose sum is σ = 105110055602. Its totient is φ = 105110055600.

The previous prime is 105110055587. The next prime is 105110055623. The reversal of 105110055601 is 106550011501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66048486001 + 39061569600 = 256999^2 + 197640^2 .

It is an emirp because it is prime and its reverse (106550011501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105110055601 - 2²⁹ = 104573184689 is a prime.

It is a super-2 number, since 2×105110055601² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105110058601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52555027800 + 52555027801.

It is an arithmetic number, because the mean of its divisors is an integer number (52555027801).

Almost surely, 2^105110055601 is an apocalyptic number.

It is an amenable number.

105110055601 is a deficient number, since it is larger than the sum of its proper divisors (1).

105110055601 is an equidigital number, since it uses as much as digits as its factorization.

105110055601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 105110055601 in words is "one hundred five billion, one hundred ten million, fifty-five thousand, six hundred one".