107982 has 24 divisors (see below), whose sum is σ = 267696. Its totient is φ = 30816.

The previous prime is 107981. The next prime is 107999. The reversal of 107982 is 289701.

It is a super-2 number, since 2×107982² = 23320224648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (11154).

2¹⁰⁷⁹⁸² is an apocalyptic number.

107982 is an abundant number, since it is smaller than the sum of its proper divisors (159714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107982 is a wasteful number, since it uses less digits than its factorization.

107982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 107982 is about 328.6061472340. The cubic root of 107982 is about 47.6193857436.

It can be divided in two parts, 107 and 982, that added together give a square (1089 = 33²).

The spelling of 107982 in words is "one hundred seven thousand, nine hundred eighty-two".