105689849 has 2 divisors, whose sum is σ = 105689850. Its totient is φ = 105689848.

The previous prime is 105689839. The next prime is 105689851. The reversal of 105689849 is 948986501.

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., 105678400 + 11449 = 10280^2 + 107^2 .

It is an emirp because it is prime and its reverse (948986501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105689849 - 2⁸ = 105689593 is a prime.

It is a super-2 number, since 2×105689849² = 22340688363285602, which contains 22 as substring.

Together with 105689851, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105689797 and 105689806.

It is not a weakly prime, because it can be changed into another prime (105689809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52844924 + 52844925.

It is an arithmetic number, because the mean of its divisors is an integer number (52844925).

Almost surely, 2^105689849 is an apocalyptic number.

It is an amenable number.

105689849 is a deficient number, since it is larger than the sum of its proper divisors (1).

105689849 is an equidigital number, since it uses as much as digits as its factorization.

105689849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 50.

The square root of 105689849 is about 10280.5568428952. The cubic root of 105689849 is about 472.8003170917.

The spelling of 105689849 in words is "one hundred five million, six hundred eighty-nine thousand, eight hundred forty-nine".