106267 has 16 divisors (see below), whose sum is σ = 138240. Its totient is φ = 79488.

The previous prime is 106261. The next prime is 106273. The reversal of 106267 is 762601.

106267 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (106261) and next prime (106273).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106267 is a prime.

It is a super-2 number, since 2×106267² = 22585350578, which contains 22 as substring.

It is a Duffinian number.

106267 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (106261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2238 + ... + 2284.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2¹⁰⁶²⁶⁷ is an apocalyptic number.

106267 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106267 is a deficient number, since it is larger than the sum of its proper divisors (31973).

106267 is a wasteful number, since it uses less digits than its factorization.

106267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 106267 is about 325.9861960268. The cubic root of 106267 is about 47.3659377732.

Adding to 106267 its reverse (762601), we get a palindrome (868868).

It can be divided in two parts, 106 and 267, that added together give a palindrome (373).

The spelling of 106267 in words is "one hundred six thousand, two hundred sixty-seven".