105200201 has 2 divisors, whose sum is σ = 105200202. Its totient is φ = 105200200.

The previous prime is 105200191. The next prime is 105200237. The reversal of 105200201 is 102002501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89794576 + 15405625 = 9476^2 + 3925^2 .

It is a cyclic number.

It is not a de Polignac number, because 105200201 - 2¹⁴ = 105183817 is a prime.

It is a super-2 number, since 2×105200201² = 22134164580880802, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105200261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52600100 + 52600101.

It is an arithmetic number, because the mean of its divisors is an integer number (52600101).

Almost surely, 2^105200201 is an apocalyptic number.

It is an amenable number.

105200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

105200201 is an equidigital number, since it uses as much as digits as its factorization.

105200201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 105200201 is about 10256.7149224301. The cubic root of 105200201 is about 472.0690448287.

Adding to 105200201 its reverse (102002501), we get a palindrome (207202702).

The spelling of 105200201 in words is "one hundred five million, two hundred thousand, two hundred one".