105126061 has 2 divisors, whose sum is σ = 105126062. Its totient is φ = 105126060.

The previous prime is 105126041. The next prime is 105126071. The reversal of 105126061 is 160621501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85932900 + 19193161 = 9270^2 + 4381^2 .

It is an emirp because it is prime and its reverse (160621501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105126061 - 2⁹ = 105125549 is a prime.

It is a super-2 number, since 2×105126061² = 22102977402751442, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105126001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52563030 + 52563031.

It is an arithmetic number, because the mean of its divisors is an integer number (52563031).

Almost surely, 2^105126061 is an apocalyptic number.

It is an amenable number.

105126061 is a deficient number, since it is larger than the sum of its proper divisors (1).

105126061 is an equidigital number, since it uses as much as digits as its factorization.

105126061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 105126061 is about 10253.1000677844. The cubic root of 105126061 is about 471.9581216435.

Adding to 105126061 its reverse (160621501), we get a palindrome (265747562).

The spelling of 105126061 in words is "one hundred five million, one hundred twenty-six thousand, sixty-one".