100667 has 8 divisors (see below), whose sum is σ = 117216. Its totient is φ = 84672.

The previous prime is 100649. The next prime is 100669. The reversal of 100667 is 766001.

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

It is not a de Polignac number, because 100667 - 2⁸ = 100411 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100669) 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, 413 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (14652).

2¹⁰⁰⁶⁶⁷ is an apocalyptic number.

100667 is a deficient number, since it is larger than the sum of its proper divisors (16549).

100667 is an equidigital number, since it uses as much as digits as its factorization.

100667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 100667 is about 317.2806328788. The cubic root of 100667 is about 46.5188577308.

Adding to 100667 its reverse (766001), we get a palindrome (866668).

It can be divided in two parts, 100 and 667, that added together give a palindrome (767).

The spelling of 100667 in words is "one hundred thousand, six hundred sixty-seven".