106117113 has 4 divisors (see below), whose sum is σ = 141489488. Its totient is φ = 70744740.

The previous prime is 106117091. The next prime is 106117133. The reversal of 106117113 is 311711601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 106117113 - 2¹⁶ = 106051577 is a prime.

It is a super-2 number, since 2×106117113² = 22521683342909538, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106117113.

It is not an unprimeable number, because it can be changed into a prime (106117133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17686183 + ... + 17686188.

It is an arithmetic number, because the mean of its divisors is an integer number (35372372).

Almost surely, 2^106117113 is an apocalyptic number.

It is an amenable number.

106117113 is a deficient number, since it is larger than the sum of its proper divisors (35372375).

106117113 is an equidigital number, since it uses as much as digits as its factorization.

106117113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35372374.

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 106117113 is about 10301.3160809675. The cubic root of 106117113 is about 473.4365779655.

Adding to 106117113 its reverse (311711601), we get a palindrome (417828714).

The spelling of 106117113 in words is "one hundred six million, one hundred seventeen thousand, one hundred thirteen".