105005006055541 has 2 divisors, whose sum is σ = 105005006055542. Its totient is φ = 105005006055540.

The previous prime is 105005006055503. The next prime is 105005006055571. The reversal of 105005006055541 is 145550600500501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64852886690641 + 40152119364900 = 8053129^2 + 6336570^2 .

It is a cyclic number.

It is not a de Polignac number, because 105005006055541 - 2⁹ = 105005006055029 is a prime.

It is a super-2 number, since 2×105005006055541² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105005006055541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105005006055571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52502503027770 + 52502503027771.

It is an arithmetic number, because the mean of its divisors is an integer number (52502503027771).

Almost surely, 2^{105005006055541} is an apocalyptic number.

It is an amenable number.

105005006055541 is a deficient number, since it is larger than the sum of its proper divisors (1).

105005006055541 is an equidigital number, since it uses as much as digits as its factorization.

105005006055541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75000, while the sum is 37.

The spelling of 105005006055541 in words is "one hundred five trillion, five billion, six million, fifty-five thousand, five hundred forty-one".