105565015541 has 2 divisors, whose sum is σ = 105565015542. Its totient is φ = 105565015540.

The previous prime is 105565015453. The next prime is 105565015559. The reversal of 105565015541 is 145510565501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102733711441 + 2831304100 = 320521^2 + 53210^2 .

It is a cyclic number.

It is not a de Polignac number, because 105565015541 - 2¹⁸ = 105564753397 is a prime.

It is a super-2 number, since 2×105565015541² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105565015495 and 105565015504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105565015561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52782507770 + 52782507771.

It is an arithmetic number, because the mean of its divisors is an integer number (52782507771).

Almost surely, 2^105565015541 is an apocalyptic number.

It is an amenable number.

105565015541 is a deficient number, since it is larger than the sum of its proper divisors (1).

105565015541 is an equidigital number, since it uses as much as digits as its factorization.

105565015541 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 38.

The spelling of 105565015541 in words is "one hundred five billion, five hundred sixty-five million, fifteen thousand, five hundred forty-one".