101067 has 8 divisors (see below), whose sum is σ = 137280. Its totient is φ = 66120.

The previous prime is 101063. The next prime is 101081. The reversal of 101067 is 760101.

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

It is not a de Polignac number, because 101067 - 2² = 101063 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101067.

It is not an unprimeable number, because it can be changed into a prime (101063) 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, 109 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (17160).

2¹⁰¹⁰⁶⁷ is an apocalyptic number.

101067 is a deficient number, since it is larger than the sum of its proper divisors (36213).

101067 is an equidigital number, since it uses as much as digits as its factorization.

101067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 101067 is about 317.9103647257. The cubic root of 101067 is about 46.5803904796.

Subtracting from 101067 its product of nonzero digits (42), we obtain a triangular number (101025 = T₄₄₉).

Adding to 101067 its reverse (760101), we get a palindrome (861168).

The spelling of 101067 in words is "one hundred one thousand, sixty-seven".