105720113 has 2 divisors, whose sum is σ = 105720114. Its totient is φ = 105720112.

The previous prime is 105720077. The next prime is 105720149. The reversal of 105720113 is 311027501.

It is a balanced prime because it is at equal distance from previous prime (105720077) and next prime (105720149).

It can be written as a sum of positive squares in only one way, i.e., 105001009 + 719104 = 10247^2 + 848^2 .

It is an emirp because it is prime and its reverse (311027501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105720113 - 2⁶ = 105720049 is a prime.

It is a super-2 number, since 2×105720113² = 22353484585465538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105720413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52860056 + 52860057.

It is an arithmetic number, because the mean of its divisors is an integer number (52860057).

Almost surely, 2^105720113 is an apocalyptic number.

It is an amenable number.

105720113 is a deficient number, since it is larger than the sum of its proper divisors (1).

105720113 is an equidigital number, since it uses as much as digits as its factorization.

105720113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 105720113 is about 10282.0286422476. The cubic root of 105720113 is about 472.8454411453.

Adding to 105720113 its reverse (311027501), we get a palindrome (416747614).

The spelling of 105720113 in words is "one hundred five million, seven hundred twenty thousand, one hundred thirteen".