105202649 has 2 divisors, whose sum is σ = 105202650. Its totient is φ = 105202648.

The previous prime is 105202637. The next prime is 105202733. The reversal of 105202649 is 946202501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63043600 + 42159049 = 7940^2 + 6493^2 .

It is an emirp because it is prime and its reverse (946202501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105202649 - 2⁸ = 105202393 is a prime.

It is a super-2 number, since 2×105202649² = 22135194713234402, which contains 22 as substring.

It is a Chen prime.

It is equal to p_6043709 and since 105202649 and 6043709 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105202619) 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, 52601324 + 52601325.

It is an arithmetic number, because the mean of its divisors is an integer number (52601325).

Almost surely, 2^105202649 is an apocalyptic number.

It is an amenable number.

105202649 is a deficient number, since it is larger than the sum of its proper divisors (1).

105202649 is an equidigital number, since it uses as much as digits as its factorization.

105202649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 105202649 is about 10256.8342581910. The cubic root of 105202649 is about 472.0727064695.

The spelling of 105202649 in words is "one hundred five million, two hundred two thousand, six hundred forty-nine".