100985 has 8 divisors (see below), whose sum is σ = 127680. Its totient is φ = 76464.

The previous prime is 100981. The next prime is 100987. The reversal of 100985 is 589001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100985 - 2² = 100981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100985.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100985.

It is not an unprimeable number, because it can be changed into a prime (100981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437 + ... + 626.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2¹⁰⁰⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

100985 is a deficient number, since it is larger than the sum of its proper divisors (26695).

100985 is a wasteful number, since it uses less digits than its factorization.

100985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 100985 is about 317.7813713861. The cubic root of 100985 is about 46.5677895136.

Adding to 100985 its reverse (589001), we get a palindrome (689986).

The spelling of 100985 in words is "one hundred thousand, nine hundred eighty-five".