988100 has 36 divisors (see below), whose sum is σ = 2205588. Its totient is φ = 384000.

The previous prime is 988093. The next prime is 988109. The reversal of 988100 is 1889.

988100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 81796 + 906304 = 286^2 + 952^2 .

It is a super-2 number, since 2×988100² = 1952683220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 988100.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 988100.

It is not an unprimeable number, because it can be changed into a prime (988109) by changing a digit.

988100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3980 + ... + 4220.

2⁹⁸⁸¹⁰⁰ 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 988100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102794).

988100 is an abundant number, since it is smaller than the sum of its proper divisors (1217488).

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

988100 is a wasteful number, since it uses less digits than its factorization.

988100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 988100 is about 994.0321926376. The cubic root of 988100 is about 99.6017494034.

Adding to 988100 its reverse (1889), we get a palindrome (989989).

The spelling of 988100 in words is "nine hundred eighty-eight thousand, one hundred".