110400241100 has 144 divisors (see below), whose sum is σ = 259396730880. Its totient is φ = 40693881600.

The previous prime is 110400241073. The next prime is 110400241129. The reversal of 110400241100 is 1142004011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5380661 + ... + 5401139.

Almost surely, 2^110400241100 is an apocalyptic number.

110400241100 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 110400241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129698365440).

110400241100 is an abundant number, since it is smaller than the sum of its proper divisors (148996489780).

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

110400241100 is a wasteful number, since it uses less digits than its factorization.

110400241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20608 (or 20601 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110400241100 its reverse (1142004011), we get a palindrome (111542245111).

The spelling of 110400241100 in words is "one hundred ten billion, four hundred million, two hundred forty-one thousand, one hundred".