105649 has 2 divisors, whose sum is σ = 105650. Its totient is φ = 105648.

The previous prime is 105619. The next prime is 105653. The reversal of 105649 is 946501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102400 + 3249 = 320^2 + 57^2 .

It is a cyclic number.

It is not a de Polignac number, because 105649 - 2⁹ = 105137 is a prime.

It is a super-2 number, since 2×105649² = 22323422402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52824 + 52825.

It is an arithmetic number, because the mean of its divisors is an integer number (52825).

2¹⁰⁵⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

105649 is a deficient number, since it is larger than the sum of its proper divisors (1).

105649 is an equidigital number, since it uses as much as digits as its factorization.

105649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 105649 is about 325.0369209798. The cubic root of 105649 is about 47.2739396990.

The spelling of 105649 in words is "one hundred five thousand, six hundred forty-nine".