101111085 has 24 divisors (see below), whose sum is σ = 181752480. Its totient is φ = 53925264.

The previous prime is 101111071. The next prime is 101111111. The reversal of 101111085 is 580111101.

It is a happy number.

It is not a de Polignac number, because 101111085 - 2⁹ = 101110573 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40395 + ... + 42824.

It is an arithmetic number, because the mean of its divisors is an integer number (7573020).

Almost surely, 2^101111085 is an apocalyptic number.

101111085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101111085 is a deficient number, since it is larger than the sum of its proper divisors (80641395).

101111085 is an frugal number, since it uses more digits than its factorization.

101111085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83239 (or 83227 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 18.

The square root of 101111085 is about 10055.4007876365. The cubic root of 101111085 is about 465.8716221854.

Adding to 101111085 its reverse (580111101), we get a palindrome (681222186).

The spelling of 101111085 in words is "one hundred one million, one hundred eleven thousand, eighty-five".