101671 has 4 divisors (see below), whose sum is σ = 102312. Its totient is φ = 101032.

The previous prime is 101663. The next prime is 101681. The reversal of 101671 is 176101.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 176101 = 229 ⋅769.

It is a cyclic number.

It is not a de Polignac number, because 101671 - 2³ = 101663 is a prime.

It is a Duffinian number.

101671 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101611) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120 + ... + 466.

It is an arithmetic number, because the mean of its divisors is an integer number (25578).

2¹⁰¹⁶⁷¹ is an apocalyptic number.

101671 is a deficient number, since it is larger than the sum of its proper divisors (641).

101671 is an equidigital number, since it uses as much as digits as its factorization.

101671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640.

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

The square root of 101671 is about 318.8589029649. The cubic root of 101671 is about 46.6729980072.

Adding to 101671 its reverse (176101), we get a palindrome (277772).

It can be divided in two parts, 10 and 1671, that added together give a square (1681 = 41²).

The spelling of 101671 in words is "one hundred one thousand, six hundred seventy-one".