106167 has 8 divisors (see below), whose sum is σ = 145024. Its totient is φ = 69048.

The previous prime is 106163. The next prime is 106181. The reversal of 106167 is 761601.

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

It is not a de Polignac number, because 106167 - 2² = 106163 is a prime.

It is a super-2 number, since 2×106167² = 22542863778, which contains 22 as substring.

It is a Duffinian number.

106167 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106163) 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, 283 + ... + 540.

It is an arithmetic number, because the mean of its divisors is an integer number (18128).

2¹⁰⁶¹⁶⁷ is an apocalyptic number.

106167 is a deficient number, since it is larger than the sum of its proper divisors (38857).

106167 is an equidigital number, since it uses as much as digits as its factorization.

106167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869.

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

The square root of 106167 is about 325.8327791982. The cubic root of 106167 is about 47.3510755855.

Adding to 106167 its reverse (761601), we get a palindrome (867768).

It can be divided in two parts, 1061 and 67, that added together give a triangular number (1128 = T₄₇).

The spelling of 106167 in words is "one hundred six thousand, one hundred sixty-seven".