105681601 has 2 divisors, whose sum is σ = 105681602. Its totient is φ = 105681600.

The previous prime is 105681581. The next prime is 105681607. The reversal of 105681601 is 106186501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102495376 + 3186225 = 10124^2 + 1785^2 .

It is a cyclic number.

It is not a de Polignac number, because 105681601 - 2⁷ = 105681473 is a prime.

It is a super-2 number, since 2×105681601² = 22337201579846402, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105681601.

It is not a weakly prime, because it can be changed into another prime (105681607) 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, 52840800 + 52840801.

It is an arithmetic number, because the mean of its divisors is an integer number (52840801).

Almost surely, 2^105681601 is an apocalyptic number.

It is an amenable number.

105681601 is a deficient number, since it is larger than the sum of its proper divisors (1).

105681601 is an equidigital number, since it uses as much as digits as its factorization.

105681601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 105681601 is about 10280.1556894825. The cubic root of 105681601 is about 472.7880177129.

The spelling of 105681601 in words is "one hundred five million, six hundred eighty-one thousand, six hundred one".