101682 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 28944.

The previous prime is 101681. The next prime is 101693. The reversal of 101682 is 286101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101681) 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, 244 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2¹⁰¹⁶⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

101682 is an abundant number, since it is smaller than the sum of its proper divisors (157518).

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

101682 is a wasteful number, since it uses less digits than its factorization.

101682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101682 is about 318.8761515071. The cubic root of 101682 is about 46.6746811632.

Adding to 101682 its reverse (286101), we get a palindrome (387783).

The spelling of 101682 in words is "one hundred one thousand, six hundred eighty-two".