105113101 has 2 divisors, whose sum is σ = 105113102. Its totient is φ = 105113100.

The previous prime is 105113089. The next prime is 105113117. The reversal of 105113101 is 101311501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69722500 + 35390601 = 8350^2 + 5949^2 .

It is a cyclic number.

It is not a de Polignac number, because 105113101 - 2⁵ = 105113069 is a prime.

It is a super-2 number, since 2×105113101² = 22097528003672402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105113171) 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, 52556550 + 52556551.

It is an arithmetic number, because the mean of its divisors is an integer number (52556551).

Almost surely, 2^105113101 is an apocalyptic number.

It is an amenable number.

105113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105113101 is an equidigital number, since it uses as much as digits as its factorization.

105113101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 13.

The square root of 105113101 is about 10252.4680443296. The cubic root of 105113101 is about 471.9387264255.

Adding to 105113101 its reverse (101311501), we get a palindrome (206424602).

The spelling of 105113101 in words is "one hundred five million, one hundred thirteen thousand, one hundred one".