105252149 has 2 divisors, whose sum is σ = 105252150. Its totient is φ = 105252148.

The previous prime is 105252143. The next prime is 105252157. The reversal of 105252149 is 941252501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77616100 + 27636049 = 8810^2 + 5257^2 .

It is a cyclic number.

It is not a de Polignac number, because 105252149 - 2⁸ = 105251893 is a prime.

It is a super-2 number, since 2×105252149² = 22156029738236402, which contains 22 as substring.

It is a Sophie Germain prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105252143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52626074 + 52626075.

It is an arithmetic number, because the mean of its divisors is an integer number (52626075).

Almost surely, 2^105252149 is an apocalyptic number.

It is an amenable number.

105252149 is a deficient number, since it is larger than the sum of its proper divisors (1).

105252149 is an equidigital number, since it uses as much as digits as its factorization.

105252149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 105252149 is about 10259.2469996584. The cubic root of 105252149 is about 472.1467348176.

The spelling of 105252149 in words is "one hundred five million, two hundred fifty-two thousand, one hundred forty-nine".