105200261 has 2 divisors, whose sum is σ = 105200262. Its totient is φ = 105200260.

The previous prime is 105200257. The next prime is 105200297. The reversal of 105200261 is 162002501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104550625 + 649636 = 10225^2 + 806^2 .

It is a cyclic number.

It is not a de Polignac number, because 105200261 - 2² = 105200257 is a prime.

It is a super-2 number, since 2×105200261² = 22134189828936242, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105200201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52600130 + 52600131.

It is an arithmetic number, because the mean of its divisors is an integer number (52600131).

Almost surely, 2^105200261 is an apocalyptic number.

It is an amenable number.

105200261 is a deficient number, since it is larger than the sum of its proper divisors (1).

105200261 is an equidigital number, since it uses as much as digits as its factorization.

105200261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105200261 is about 10256.7178473428. The cubic root of 105200261 is about 472.0691345754.

Adding to 105200261 its reverse (162002501), we get a palindrome (267202762).

The spelling of 105200261 in words is "one hundred five million, two hundred thousand, two hundred sixty-one".