105204149 has 2 divisors, whose sum is σ = 105204150. Its totient is φ = 105204148.

The previous prime is 105204131. The next prime is 105204161. The reversal of 105204149 is 941402501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54538225 + 50665924 = 7385^2 + 7118^2 .

It is a cyclic number.

It is not a de Polignac number, because 105204149 - 2²⁰ = 104155573 is a prime.

It is a super-2 number, since 2×105204149² = 22135825933628402, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105204119) 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, 52602074 + 52602075.

It is an arithmetic number, because the mean of its divisors is an integer number (52602075).

Almost surely, 2^105204149 is an apocalyptic number.

It is an amenable number.

105204149 is a deficient number, since it is larger than the sum of its proper divisors (1).

105204149 is an equidigital number, since it uses as much as digits as its factorization.

105204149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 105204149 is about 10256.9073799075. The cubic root of 105204149 is about 472.0749500939.

The spelling of 105204149 in words is "one hundred five million, two hundred four thousand, one hundred forty-nine".