101167 has 8 divisors (see below), whose sum is σ = 117072. Its totient is φ = 86400.

The previous prime is 101161. The next prime is 101173. The reversal of 101167 is 761101.

It is an interprime number because it is at equal distance from previous prime (101161) and next prime (101173).

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

It is a cyclic number.

It is not a de Polignac number, because 101167 - 2³ = 101159 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101161) 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, 84 + ... + 457.

It is an arithmetic number, because the mean of its divisors is an integer number (14634).

2¹⁰¹¹⁶⁷ is an apocalyptic number.

101167 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

101167 is a deficient number, since it is larger than the sum of its proper divisors (15905).

101167 is a wasteful number, since it uses less digits than its factorization.

101167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 101167 is about 318.0676028771. The cubic root of 101167 is about 46.5957482905.

Adding to 101167 its reverse (761101), we get a palindrome (862268).

The spelling of 101167 in words is "one hundred one thousand, one hundred sixty-seven".