106085111 has 4 divisors (see below), whose sum is σ = 115729224. Its totient is φ = 96441000.

The previous prime is 106085099. The next prime is 106085137. The reversal of 106085111 is 111580601.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 111580601 = 11 ⋅10143691.

It is a cyclic number.

It is not a de Polignac number, because 106085111 - 2²² = 101890807 is a prime.

It is a super-2 number, since 2×106085111² = 22508101551764642, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106085011) 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, 4822040 + ... + 4822061.

It is an arithmetic number, because the mean of its divisors is an integer number (28932306).

Almost surely, 2^106085111 is an apocalyptic number.

106085111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106085111 is a deficient number, since it is larger than the sum of its proper divisors (9644113).

106085111 is an equidigital number, since it uses as much as digits as its factorization.

106085111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9644112.

The product of its (nonzero) digits is 240, while the sum is 23.

The square root of 106085111 is about 10299.7626671686. The cubic root of 106085111 is about 473.3889813677.

The spelling of 106085111 in words is "one hundred six million, eighty-five thousand, one hundred eleven".