110667 has 8 divisors (see below), whose sum is σ = 151696. Its totient is φ = 71712.

The previous prime is 110651. The next prime is 110681. The reversal of 110667 is 766011.

110667 is nontrivially palindromic in base 11.

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

It is not a de Polignac number, because 110667 - 2⁴ = 110651 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 110667.

It is not an unprimeable number, because it can be changed into a prime (110647) 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, 388 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (18962).

2¹¹⁰⁶⁶⁷ is an apocalyptic number.

110667 is a deficient number, since it is larger than the sum of its proper divisors (41029).

110667 is an equidigital number, since it uses as much as digits as its factorization.

110667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 110667 is about 332.6664996660. Note that the first 3 decimals coincide. The cubic root of 110667 is about 48.0108482425.

Adding to 110667 its reverse (766011), we get a palindrome (876678).

It can be divided in two parts, 110 and 667, that added together give a palindrome (777).

The spelling of 110667 in words is "one hundred ten thousand, six hundred sixty-seven".