110550105120 has 768 divisors, whose sum is σ = 462532654080. Its totient is φ = 21538603008.

The previous prime is 110550105119. The next prime is 110550105143. The reversal of 110550105120 is 21501055011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 9010 × 1378 × 8904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2085851014 + ... + 2085851066.

It is an arithmetic number, because the mean of its divisors is an integer number (602256060).

Almost surely, 2^110550105120 is an apocalyptic number.

110550105120 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 110550105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231266327040).

110550105120 is an abundant number, since it is smaller than the sum of its proper divisors (351982548960).

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

110550105120 is an equidigital number, since it uses as much as digits as its factorization.

110550105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 21.

The spelling of 110550105120 in words is "one hundred ten billion, five hundred fifty million, one hundred five thousand, one hundred twenty".