101985 has 16 divisors (see below), whose sum is σ = 176064. Its totient is φ = 50112.

The previous prime is 101977. The next prime is 101987. The reversal of 101985 is 589101.

It is not a de Polignac number, because 101985 - 2³ = 101977 is a prime.

It is a Curzon number.

101985 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101985.

It is not an unprimeable number, because it can be changed into a prime (101987) 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, 67 + ... + 456.

It is an arithmetic number, because the mean of its divisors is an integer number (11004).

2¹⁰¹⁹⁸⁵ is an apocalyptic number.

101985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101985 is a deficient number, since it is larger than the sum of its proper divisors (74079).

101985 is a wasteful number, since it uses less digits than its factorization.

101985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544.

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 101985 is about 319.3509041791. The cubic root of 101985 is about 46.7209968141.

The spelling of 101985 in words is "one hundred one thousand, nine hundred eighty-five".