100185 has 8 divisors (see below), whose sum is σ = 160320. Its totient is φ = 53424.

The previous prime is 100183. The next prime is 100189. The reversal of 100185 is 581001.

It is a happy number.

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

It is not a de Polignac number, because 100185 - 2¹ = 100183 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 6679 = 100185 / (1 + 0 + 0 + 1 + 8 + 5).

100185 is a modest number, since divided by 185 gives 100 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100183) 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, 3325 + ... + 3354.

It is an arithmetic number, because the mean of its divisors is an integer number (20040).

2¹⁰⁰¹⁸⁵ is an apocalyptic number.

100185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100185 is a deficient number, since it is larger than the sum of its proper divisors (60135).

100185 is an equidigital number, since it uses as much as digits as its factorization.

100185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6687.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 100185 is about 316.5201415392. The cubic root of 100185 is about 46.4444938345. Note that the first 4 decimals are identical.

Adding to 100185 its reverse (581001), we get a palindrome (681186).

The spelling of 100185 in words is "one hundred thousand, one hundred eighty-five".