105752284541 has 2 divisors, whose sum is σ = 105752284542. Its totient is φ = 105752284540.

The previous prime is 105752284531. The next prime is 105752284579. The reversal of 105752284541 is 145482257501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94953957316 + 10798327225 = 308146^2 + 103915^2 .

It is a cyclic number.

It is not a de Polignac number, because 105752284541 - 2¹⁰ = 105752283517 is a prime.

It is a super-2 number, since 2×105752284541² (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 = 105752284492 and 105752284501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105752284511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52876142270 + 52876142271.

It is an arithmetic number, because the mean of its divisors is an integer number (52876142271).

Almost surely, 2^105752284541 is an apocalyptic number.

It is an amenable number.

105752284541 is a deficient number, since it is larger than the sum of its proper divisors (1).

105752284541 is an equidigital number, since it uses as much as digits as its factorization.

105752284541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448000, while the sum is 44.

The spelling of 105752284541 in words is "one hundred five billion, seven hundred fifty-two million, two hundred eighty-four thousand, five hundred forty-one".