100998 has 24 divisors (see below), whose sum is σ = 227136. Its totient is φ = 32400.

The previous prime is 100987. The next prime is 100999. The reversal of 100998 is 899001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468 + ... + 648.

It is an arithmetic number, because the mean of its divisors is an integer number (9464).

2¹⁰⁰⁹⁹⁸ is an apocalyptic number.

100998 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 100998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113568).

100998 is an abundant number, since it is smaller than the sum of its proper divisors (126138).

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

100998 is a wasteful number, since it uses less digits than its factorization.

100998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 100998 is about 317.8018250420. The cubic root of 100998 is about 46.5697876826.

Adding to 100998 its sum of digits (27), we get a triangular number (101025 = T₄₄₉).

Adding to 100998 its reverse (899001), we get a palindrome (999999).

The spelling of 100998 in words is "one hundred thousand, nine hundred ninety-eight".