10098 has 32 divisors (see below), whose sum is σ = 25920. Its totient is φ = 2880.

The previous prime is 10093. The next prime is 10099. The reversal of 10098 is 89001.

10098 is nontrivially palindromic in base 16.

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

It is a plaindrome in base 13.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 10098.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10091) 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, 586 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (810).

2¹⁰⁰⁹⁸ is an apocalyptic number.

10098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960).

10098 is an abundant number, since it is smaller than the sum of its proper divisors (15822).

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

10098 is a wasteful number, since it uses less digits than its factorization.

10098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 33 counting only the distinct ones).

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

The square root of 10098 is about 100.4888053467. The cubic root of 10098 is about 21.6144964416.

10098 divided by its sum of digits (18) gives a triangular number (561 = T₃₃).

Adding to 10098 its reverse (89001), we get a palindrome (99099).

The spelling of 10098 in words is "ten thousand, ninety-eight".