106111115 has 16 divisors (see below), whose sum is σ = 140265216. Its totient is φ = 76418400.

The previous prime is 106111111. The next prime is 106111123. The reversal of 106111115 is 511111601.

It is not a de Polignac number, because 106111115 - 2² = 106111111 is a prime.

It is a super-2 number, since 2×106111115² = 22519137453086450, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106111093 and 106111102.

It is not an unprimeable number, because it can be changed into a prime (106111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3701 + ... + 15030.

It is an arithmetic number, because the mean of its divisors is an integer number (8766576).

Almost surely, 2^106111115 is an apocalyptic number.

106111115 is a deficient number, since it is larger than the sum of its proper divisors (34154101).

106111115 is a wasteful number, since it uses less digits than its factorization.

106111115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18850.

The product of its (nonzero) digits is 30, while the sum is 17.

The square root of 106111115 is about 10301.0249490039. The cubic root of 106111115 is about 473.4276578645.

Adding to 106111115 its reverse (511111601), we get a palindrome (617222716).

The spelling of 106111115 in words is "one hundred six million, one hundred eleven thousand, one hundred fifteen".