105601 has 2 divisors, whose sum is σ = 105602. Its totient is φ = 105600.

The previous prime is 105563. The next prime is 105607. The reversal of 105601 is 106501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 625 = 324^2 + 25^2 .

It is an emirp because it is prime and its reverse (106501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105601 - 2¹¹ = 103553 is a prime.

It is a super-2 number, since 2×105601² = 22303142402, which contains 22 as substring.

It is a Chen prime.

105601 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (105607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52800 + 52801.

It is an arithmetic number, because the mean of its divisors is an integer number (52801).

2¹⁰⁵⁶⁰¹ is an apocalyptic number.

It is an amenable number.

105601 is a deficient number, since it is larger than the sum of its proper divisors (1).

105601 is an equidigital number, since it uses as much as digits as its factorization.

105601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 105601 is about 324.9630748254. The cubic root of 105601 is about 47.2667792185.

Subtracting 105601 from its reverse (106501), we obtain a square (900 = 30²).

The spelling of 105601 in words is "one hundred five thousand, six hundred one".