106101113 has 2 divisors, whose sum is σ = 106101114. Its totient is φ = 106101112.

The previous prime is 106101077. The next prime is 106101181. The reversal of 106101113 is 311101601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54878464 + 51222649 = 7408^2 + 7157^2 .

It is a cyclic number.

It is not a de Polignac number, because 106101113 - 2¹⁰ = 106100089 is a prime.

It is a super-2 number, since 2×106101113² = 22514892359677538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106103113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53050556 + 53050557.

It is an arithmetic number, because the mean of its divisors is an integer number (53050557).

Almost surely, 2^106101113 is an apocalyptic number.

It is an amenable number.

106101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

106101113 is an equidigital number, since it uses as much as digits as its factorization.

106101113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 106101113 is about 10300.5394518928. The cubic root of 106101113 is about 473.4127823502.

Adding to 106101113 its reverse (311101601), we get a palindrome (417202714).

The spelling of 106101113 in words is "one hundred six million, one hundred one thousand, one hundred thirteen".