105309949 has 2 divisors, whose sum is σ = 105309950. Its totient is φ = 105309948.

The previous prime is 105309947. The next prime is 105309979. The reversal of 105309949 is 949903501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98366724 + 6943225 = 9918^2 + 2635^2 .

It is a cyclic number.

It is not a de Polignac number, because 105309949 - 2¹ = 105309947 is a prime.

It is a super-2 number, since 2×105309949² = 22180370716765202, which contains 22 as substring.

Together with 105309947, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105309947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52654974 + 52654975.

It is an arithmetic number, because the mean of its divisors is an integer number (52654975).

Almost surely, 2^105309949 is an apocalyptic number.

It is an amenable number.

105309949 is a deficient number, since it is larger than the sum of its proper divisors (1).

105309949 is an equidigital number, since it uses as much as digits as its factorization.

105309949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 105309949 is about 10262.0635838997. The cubic root of 105309949 is about 472.2331466313.

The spelling of 105309949 in words is "one hundred five million, three hundred nine thousand, nine hundred forty-nine".