106981 has 16 divisors (see below), whose sum is σ = 138240. Its totient is φ = 80640.

The previous prime is 106979. The next prime is 106993. The reversal of 106981 is 189601.

It is not a de Polignac number, because 106981 - 2¹ = 106979 is a prime.

It is a super-2 number, since 2×106981² = 22889868722, which contains 22 as substring.

It is a Duffinian number.

106981 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3436 + ... + 3466.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2¹⁰⁶⁹⁸¹ is an apocalyptic number.

It is an amenable number.

106981 is a deficient number, since it is larger than the sum of its proper divisors (31259).

106981 is a wasteful number, since it uses less digits than its factorization.

106981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84.

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 106981 is about 327.0795010391. The cubic root of 106981 is about 47.4717837962.

The spelling of 106981 in words is "one hundred six thousand, nine hundred eighty-one".