101867 has 8 divisors (see below), whose sum is σ = 109824. Its totient is φ = 94248.

The previous prime is 101863. The next prime is 101869. The reversal of 101867 is 768101.

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 101867 - 2² = 101863 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101863) 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 7 ways as a sum of consecutive naturals, for example, 938 + ... + 1040.

It is an arithmetic number, because the mean of its divisors is an integer number (13728).

2¹⁰¹⁸⁶⁷ is an apocalyptic number.

101867 is a deficient number, since it is larger than the sum of its proper divisors (7957).

101867 is a wasteful number, since it uses less digits than its factorization.

101867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 101867 is about 319.1661009569. The cubic root of 101867 is about 46.7029706165.

Adding to 101867 its reverse (768101), we get a palindrome (869968).

The spelling of 101867 in words is "one hundred one thousand, eight hundred sixty-seven".