18200109100 has 72 divisors (see below), whose sum is σ = 40859009856. Its totient is φ = 7032000000.

The previous prime is 18200109091. The next prime is 18200109107. The reversal of 18200109100 is 190100281.

It is not an unprimeable number, because it can be changed into a prime (18200109107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392125 + ... + 436075.

It is an arithmetic number, because the mean of its divisors is an integer number (567486248).

Almost surely, 2^18200109100 is an apocalyptic number.

18200109100 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 18200109100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20429504928).

18200109100 is an abundant number, since it is smaller than the sum of its proper divisors (22658900756).

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

18200109100 is a wasteful number, since it uses less digits than its factorization.

18200109100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44107 (or 44100 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 18200109100 its reverse (190100281), we get a palindrome (18390209381).

The spelling of 18200109100 in words is "eighteen billion, two hundred million, one hundred nine thousand, one hundred".