105867649 has 2 divisors, whose sum is σ = 105867650. Its totient is φ = 105867648.

The previous prime is 105867647. The next prime is 105867673. The reversal of 105867649 is 946768501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96825600 + 9042049 = 9840^2 + 3007^2 .

It is a cyclic number.

It is not a de Polignac number, because 105867649 - 2¹ = 105867647 is a prime.

It is a super-2 number, since 2×105867649² = 22415918209574402, which contains 22 as substring.

Together with 105867647, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105867599 and 105867608.

It is not a weakly prime, because it can be changed into another prime (105867647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52933824 + 52933825.

It is an arithmetic number, because the mean of its divisors is an integer number (52933825).

Almost surely, 2^105867649 is an apocalyptic number.

It is an amenable number.

105867649 is a deficient number, since it is larger than the sum of its proper divisors (1).

105867649 is an equidigital number, since it uses as much as digits as its factorization.

105867649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 105867649 is about 10289.2006006298. The cubic root of 105867649 is about 473.0652961838.

The spelling of 105867649 in words is "one hundred five million, eight hundred sixty-seven thousand, six hundred forty-nine".