100844110900 has 72 divisors (see below), whose sum is σ = 235752348384. Its totient is φ = 37220937600.

The previous prime is 100844110897. The next prime is 100844110909. The reversal of 100844110900 is 9011448001.

It is a super-2 number, since 2×100844110900² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100844110909) 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, 3901419 + ... + 3927181.

It is an arithmetic number, because the mean of its divisors is an integer number (3274338172).

Almost surely, 2^100844110900 is an apocalyptic number.

100844110900 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 100844110900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117876174192).

100844110900 is an abundant number, since it is smaller than the sum of its proper divisors (134908237484).

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

100844110900 is a wasteful number, since it uses less digits than its factorization.

100844110900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28801 (or 28794 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 100844110900 its reverse (9011448001), we get a palindrome (109855558901).

The spelling of 100844110900 in words is "one hundred billion, eight hundred forty-four million, one hundred ten thousand, nine hundred".