100167 has 8 divisors (see below), whose sum is σ = 135024. Its totient is φ = 66048.

The previous prime is 100153. The next prime is 100169. The reversal of 100167 is 761001.

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

It is not a de Polignac number, because 100167 - 2⁴ = 100151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100169) 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, 423 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (16878).

2¹⁰⁰¹⁶⁷ is an apocalyptic number.

100167 is a deficient number, since it is larger than the sum of its proper divisors (34857).

100167 is a wasteful number, since it uses less digits than its factorization.

100167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 100167 is about 316.4917060525. The cubic root of 100167 is about 46.4417121440.

Adding to 100167 its reverse (761001), we get a palindrome (861168).

The spelling of 100167 in words is "one hundred thousand, one hundred sixty-seven".