105386681 has 2 divisors, whose sum is σ = 105386682. Its totient is φ = 105386680.

The previous prime is 105386629. The next prime is 105386731. The reversal of 105386681 is 186683501.

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., 67502656 + 37884025 = 8216^2 + 6155^2 .

It is a cyclic number.

It is not a de Polignac number, because 105386681 - 2²⁶ = 38277817 is a prime.

It is a super-2 number, since 2×105386681² = 22212705064391522, which contains 22 as substring.

It is a Chen prime.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (105386581) 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, 52693340 + 52693341.

It is an arithmetic number, because the mean of its divisors is an integer number (52693341).

Almost surely, 2^105386681 is an apocalyptic number.

It is an amenable number.

105386681 is a deficient number, since it is larger than the sum of its proper divisors (1).

105386681 is an equidigital number, since it uses as much as digits as its factorization.

105386681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 105386681 is about 10265.8015274016. The cubic root of 105386681 is about 472.3478132162.

The spelling of 105386681 in words is "one hundred five million, three hundred eighty-six thousand, six hundred eighty-one".