105350261 has 2 divisors, whose sum is σ = 105350262. Its totient is φ = 105350260.

The previous prime is 105350227. The next prime is 105350293. The reversal of 105350261 is 162053501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73427761 + 31922500 = 8569^2 + 5650^2 .

It is a cyclic number.

It is not a de Polignac number, because 105350261 - 2¹⁸ = 105088117 is a prime.

It is a super-2 number, since 2×105350261² = 22197354985536242, 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 (105350561) 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, 52675130 + 52675131.

It is an arithmetic number, because the mean of its divisors is an integer number (52675131).

Almost surely, 2^105350261 is an apocalyptic number.

It is an amenable number.

105350261 is a deficient number, since it is larger than the sum of its proper divisors (1).

105350261 is an equidigital number, since it uses as much as digits as its factorization.

105350261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 105350261 is about 10264.0275233458. The cubic root of 105350261 is about 472.2933949246.

The spelling of 105350261 in words is "one hundred five million, three hundred fifty thousand, two hundred sixty-one".