111004440100 has 72 divisors (see below), whose sum is σ = 243967588200. Its totient is φ = 43834137600.

The previous prime is 111004440097. The next prime is 111004440109. The reversal of 111004440100 is 1044400111.

It can be written as a sum of positive squares in 12 ways, for example, as 5453527104 + 105550912996 = 73848^2 + 324886^2 .

It is not an unprimeable number, because it can be changed into a prime (111004440109) 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, 5873466 + ... + 5892334.

It is an arithmetic number, because the mean of its divisors is an integer number (3388438725).

Almost surely, 2^111004440100 is an apocalyptic number.

111004440100 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 111004440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121983794100).

111004440100 is an abundant number, since it is smaller than the sum of its proper divisors (132963148100).

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

111004440100 is a wasteful number, since it uses less digits than its factorization.

111004440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19633 (or 19626 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 111004440100 its reverse (1044400111), we get a palindrome (112048840211).

The spelling of 111004440100 in words is "one hundred eleven billion, four million, four hundred forty thousand, one hundred".