100181 has 8 divisors (see below), whose sum is σ = 108864. Its totient is φ = 91840.

The previous prime is 100169. The next prime is 100183. The reversal of 100181 is 181001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100181 is a prime.

It is a super-2 number, since 2×100181² = 20072465522, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100181.

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, 1166 + ... + 1248.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2¹⁰⁰¹⁸¹ is an apocalyptic number.

It is an amenable number.

100181 is a deficient number, since it is larger than the sum of its proper divisors (8683).

100181 is an equidigital number, since it uses as much as digits as its factorization.

100181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 100181 is about 316.5138227629. The cubic root of 100181 is about 46.4438757098.

Adding to 100181 its reverse (181001), we get a palindrome (281182).

The spelling of 100181 in words is "one hundred thousand, one hundred eighty-one".