105825036010261 has 2 divisors, whose sum is σ = 105825036010262. Its totient is φ = 105825036010260.

The previous prime is 105825036010237. The next prime is 105825036010273. The reversal of 105825036010261 is 162010630528501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98855911202161 + 6969124808100 = 9942631^2 + 2639910^2 .

It is an emirp because it is prime and its reverse (162010630528501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105825036010261 - 2⁴¹ = 103626012754709 is a prime.

It is a super-2 number, since 2×105825036010261² (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 (105825036010361) 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, 52912518005130 + 52912518005131.

It is an arithmetic number, because the mean of its divisors is an integer number (52912518005131).

Almost surely, 2^{105825036010261} is an apocalyptic number.

It is an amenable number.

105825036010261 is a deficient number, since it is larger than the sum of its proper divisors (1).

105825036010261 is an equidigital number, since it uses as much as digits as its factorization.

105825036010261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 40.

Adding to 105825036010261 its reverse (162010630528501), we get a palindrome (267835666538762).

The spelling of 105825036010261 in words is "one hundred five trillion, eight hundred twenty-five billion, thirty-six million, ten thousand, two hundred sixty-one".