100067 has 6 divisors (see below), whose sum is σ = 110124. Its totient is φ = 90860.

The previous prime is 100057. The next prime is 100069. The reversal of 100067 is 760001.

It is a happy number.

It is not a de Polignac number, because 100067 - 2⁶ = 100003 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (100069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 293 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (18354).

2¹⁰⁰⁰⁶⁷ is an apocalyptic number.

100067 is a deficient number, since it is larger than the sum of its proper divisors (10057).

100067 is an equidigital number, since it uses as much as digits as its factorization.

100067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 100067 is about 316.3336845801. Note that the first 3 decimals coincide. The cubic root of 100067 is about 46.4262522369.

Adding to 100067 its reverse (760001), we get a palindrome (860068).

The spelling of 100067 in words is "one hundred thousand, sixty-seven".