105005500061101 has 2 divisors, whose sum is σ = 105005500061102. Its totient is φ = 105005500061100.

The previous prime is 105005500061023. The next prime is 105005500061117. The reversal of 105005500061101 is 101160005500501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74506676475625 + 30498823585476 = 8631725^2 + 5522574^2 .

It is a cyclic number.

It is not a de Polignac number, because 105005500061101 - 2³³ = 104996910126509 is a prime.

It is a super-2 number, since 2×105005500061101² (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 (105005500061141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52502750030550 + 52502750030551.

It is an arithmetic number, because the mean of its divisors is an integer number (52502750030551).

Almost surely, 2^{105005500061101} is an apocalyptic number.

It is an amenable number.

105005500061101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105005500061101 is an equidigital number, since it uses as much as digits as its factorization.

105005500061101 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.

Adding to 105005500061101 its reverse (101160005500501), we get a palindrome (206165505561602).

The spelling of 105005500061101 in words is "one hundred five trillion, five billion, five hundred million, sixty-one thousand, one hundred one".