110411344100 has 72 divisors (see below), whose sum is σ = 242621971200. Its totient is φ = 43607520000.

The previous prime is 110411344081. The next prime is 110411344117. The reversal of 110411344100 is 1443114011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6675641 + ... + 6692159.

It is an arithmetic number, because the mean of its divisors is an integer number (3369749600).

Almost surely, 2^110411344100 is an apocalyptic number.

110411344100 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 110411344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121310985600).

110411344100 is an abundant number, since it is smaller than the sum of its proper divisors (132210627100).

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

110411344100 is a wasteful number, since it uses less digits than its factorization.

110411344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17373 (or 17366 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 110411344100 its reverse (1443114011), we get a palindrome (111854458111).

The spelling of 110411344100 in words is "one hundred ten billion, four hundred eleven million, three hundred forty-four thousand, one hundred".