100009800 has 144 divisors (see below), whose sum is σ = 366472080. Its totient is φ = 24240000.

The previous prime is 100009769. The next prime is 100009817. The reversal of 100009800 is 8900001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17275 + ... + 22325.

It is an arithmetic number, because the mean of its divisors is an integer number (2544945).

Almost surely, 2^100009800 is an apocalyptic number.

100009800 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 100009800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183236040).

100009800 is an abundant number, since it is smaller than the sum of its proper divisors (266462280).

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

100009800 is a wasteful number, since it uses less digits than its factorization.

100009800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084 (or 5072 counting only the distinct ones).

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

The square root of 100009800 is about 10000.4899879956. The cubic root of 100009800 is about 464.1740453895.

Adding to 100009800 its reverse (8900001), we get a palindrome (108909801).

The spelling of 100009800 in words is "one hundred million, nine thousand, eight hundred".