105201113 has 2 divisors, whose sum is σ = 105201114. Its totient is φ = 105201112.

The previous prime is 105201097. The next prime is 105201133. The reversal of 105201113 is 311102501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75203584 + 29997529 = 8672^2 + 5477^2 .

It is a cyclic number.

It is not a de Polignac number, because 105201113 - 2⁴ = 105201097 is a prime.

It is a super-2 number, since 2×105201113² = 22134548352877538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105201133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52600556 + 52600557.

It is an arithmetic number, because the mean of its divisors is an integer number (52600557).

Almost surely, 2^105201113 is an apocalyptic number.

It is an amenable number.

105201113 is a deficient number, since it is larger than the sum of its proper divisors (1).

105201113 is an equidigital number, since it uses as much as digits as its factorization.

105201113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 105201113 is about 10256.7593810131. The cubic root of 105201113 is about 472.0704089760.

Adding to 105201113 its reverse (311102501), we get a palindrome (416303614).

The spelling of 105201113 in words is "one hundred five million, two hundred one thousand, one hundred thirteen".