1098100800 has 420 divisors, whose sum is σ = 4163534980. Its totient is φ = 283668480.

The previous prime is 1098100781. The next prime is 1098100811. The reversal of 1098100800 is 80018901.

It can be written as a sum of positive squares in 6 ways, for example, as 126157824 + 971942976 = 11232^2 + 31176^2 .

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 4795086 + ... + 4795314.

Almost surely, 2^1098100800 is an apocalyptic number.

1098100800 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 1098100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081767490).

1098100800 is an abundant number, since it is smaller than the sum of its proper divisors (3065434180).

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

1098100800 is a wasteful number, since it uses less digits than its factorization.

1098100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1098100800 is about 33137.6040171887. The cubic root of 1098100800 is about 1031.6856803715.

The spelling of 1098100800 in words is "one billion, ninety-eight million, one hundred thousand, eight hundred".