101105085 has 16 divisors (see below), whose sum is σ = 162403776. Its totient is φ = 53710848.

The previous prime is 101105071. The next prime is 101105089. The reversal of 101105085 is 580501101.

It is not a de Polignac number, because 101105085 - 2¹⁹ = 100580797 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101105089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9259 + ... + 16968.

It is an arithmetic number, because the mean of its divisors is an integer number (10150236).

Almost surely, 2^101105085 is an apocalyptic number.

101105085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101105085 is a deficient number, since it is larger than the sum of its proper divisors (61298691).

101105085 is a wasteful number, since it uses less digits than its factorization.

101105085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26492.

The product of its (nonzero) digits is 200, while the sum is 21.

The square root of 101105085 is about 10055.1024360769. The cubic root of 101105085 is about 465.8624069576.

Adding to 101105085 its reverse (580501101), we get a palindrome (681606186).

The spelling of 101105085 in words is "one hundred one million, one hundred five thousand, eighty-five".