1098900 has 144 divisors (see below), whose sum is σ = 3958080. Its totient is φ = 259200.

The previous prime is 1098847. The next prime is 1098953. The reversal of 1098900 is 98901.

It is an interprime number because it is at equal distance from previous prime (1098847) and next prime (1098953).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 29682 + ... + 29718.

2^1098900 is an apocalyptic number.

1098900 is a gapful number since it is divisible by the number (10) 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 1098900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979040).

1098900 is an abundant number, since it is smaller than the sum of its proper divisors (2859180).

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

1098900 is a wasteful number, since it uses less digits than its factorization.

1098900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

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

The square root of 1098900 is about 1048.2843125794. The cubic root of 1098900 is about 103.1935907323.

Subtracting from 1098900 its reverse (98901), we obtain a palindrome (999999).

Multiplying 1098900 by its reverse (98901), we get a square (108682308900 = 329670²).

It can be divided in two parts, 109 and 8900, that added together give a palindrome (9009).

The spelling of 1098900 in words is "one million, ninety-eight thousand, nine hundred".