982100 has 72 divisors (see below), whose sum is σ = 2583168. Its totient is φ = 316800.

The previous prime is 982099. The next prime is 982103. The reversal of 982100 is 1289.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16070 + ... + 16130.

2⁹⁸²¹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291584).

982100 is an abundant number, since it is smaller than the sum of its proper divisors (1601068).

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

982100 is a wasteful number, since it uses less digits than its factorization.

982100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 982100 is about 991.0095862301. The cubic root of 982100 is about 99.3997373908.

Adding to 982100 its reverse (1289), we get a palindrome (983389).

The spelling of 982100 in words is "nine hundred eighty-two thousand, one hundred".