105138581 has 2 divisors, whose sum is σ = 105138582. Its totient is φ = 105138580.

The previous prime is 105138541. The next prime is 105138617. The reversal of 105138581 is 185831501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91374481 + 13764100 = 9559^2 + 3710^2 .

It is a cyclic number.

It is not a de Polignac number, because 105138581 - 2¹⁴ = 105122197 is a prime.

It is a super-2 number, since 2×105138581² = 22108242429387122, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105138511) 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, 52569290 + 52569291.

It is an arithmetic number, because the mean of its divisors is an integer number (52569291).

Almost surely, 2^105138581 is an apocalyptic number.

It is an amenable number.

105138581 is a deficient number, since it is larger than the sum of its proper divisors (1).

105138581 is an equidigital number, since it uses as much as digits as its factorization.

105138581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 32.

The square root of 105138581 is about 10253.7105966572. The cubic root of 105138581 is about 471.9768568682.

The spelling of 105138581 in words is "one hundred five million, one hundred thirty-eight thousand, five hundred eighty-one".