10106113 has 2 divisors, whose sum is σ = 10106114. Its totient is φ = 10106112.

The previous prime is 10106111. The next prime is 10106147. The reversal of 10106113 is 31160101.

It is a happy number.

10106113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7033104 + 3073009 = 2652^2 + 1753^2 .

It is a cyclic number.

It is not a de Polignac number, because 10106113 - 2¹ = 10106111 is a prime.

Together with 10106111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10106093 and 10106102.

It is not a weakly prime, because it can be changed into another prime (10106111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053056 + 5053057.

It is an arithmetic number, because the mean of its divisors is an integer number (5053057).

Almost surely, 2^10106113 is an apocalyptic number.

It is an amenable number.

10106113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106113 is an equidigital number, since it uses as much as digits as its factorization.

10106113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 10106113 is about 3179.0113242957. The cubic root of 10106113 is about 216.2028344462.

Adding to 10106113 its reverse (31160101), we get a palindrome (41266214).

The spelling of 10106113 in words is "ten million, one hundred six thousand, one hundred thirteen".