105090649 has 2 divisors, whose sum is σ = 105090650. Its totient is φ = 105090648.

The previous prime is 105090613. The next prime is 105090677. The reversal of 105090649 is 946090501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102819600 + 2271049 = 10140^2 + 1507^2 .

It is an emirp because it is prime and its reverse (946090501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105090649 - 2⁹ = 105090137 is a prime.

It is a super-2 number, since 2×105090649² = 22088089014482402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105090049) 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, 52545324 + 52545325.

It is an arithmetic number, because the mean of its divisors is an integer number (52545325).

Almost surely, 2^105090649 is an apocalyptic number.

It is an amenable number.

105090649 is a deficient number, since it is larger than the sum of its proper divisors (1).

105090649 is an equidigital number, since it uses as much as digits as its factorization.

105090649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 105090649 is about 10251.3730299897. The cubic root of 105090649 is about 471.9051222325.

The spelling of 105090649 in words is "one hundred five million, ninety thousand, six hundred forty-nine".