106971 has 8 divisors (see below), whose sum is σ = 144144. Its totient is φ = 70560.

The previous prime is 106963. The next prime is 106979. The reversal of 106971 is 179601.

It is an interprime number because it is at equal distance from previous prime (106963) and next prime (106979).

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

It is not a de Polignac number, because 106971 - 2³ = 106963 is a prime.

It is a super-2 number, since 2×106971² = 22885589682, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106979) 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, 445 + ... + 641.

It is an arithmetic number, because the mean of its divisors is an integer number (18018).

2¹⁰⁶⁹⁷¹ is an apocalyptic number.

106971 is a deficient number, since it is larger than the sum of its proper divisors (37173).

106971 is a wasteful number, since it uses less digits than its factorization.

106971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381.

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 106971 is about 327.0642138786. The cubic root of 106971 is about 47.4703046157.

The spelling of 106971 in words is "one hundred six thousand, nine hundred seventy-one".