98100 has 54 divisors (see below), whose sum is σ = 310310. Its totient is φ = 25920.

The previous prime is 98081. The next prime is 98101. The reversal of 98100 is 189.

98100 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 86436 = 108^2 + 294^2 .

It is a super-2 number, since 2×98100² = 19247220000, which contains 22 as substring.

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

It is a nialpdrome in base 10.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 846 + ... + 954.

2⁹⁸¹⁰⁰ is an apocalyptic number.

98100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155155).

98100 is an abundant number, since it is smaller than the sum of its proper divisors (212210).

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

98100 is a wasteful number, since it uses less digits than its factorization.

98100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 98100 is about 313.2091952673. The cubic root of 98100 is about 46.1200393458.

Adding to 98100 its reverse (189), we get a palindrome (98289).

It can be divided in two parts, 9 and 8100, that multiplied together give a square (72900 = 270²).

The spelling of 98100 in words is "ninety-eight thousand, one hundred".