110385705000 has 160 divisors (see below), whose sum is σ = 346489212960. Its totient is φ = 29295840000.

The previous prime is 110385704963. The next prime is 110385705013. The reversal of 110385705000 is 507583011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3147562 + ... + 3182438.

It is an arithmetic number, because the mean of its divisors is an integer number (2165557581).

Almost surely, 2^110385705000 is an apocalyptic number.

110385705000 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 110385705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173244606480).

110385705000 is an abundant number, since it is smaller than the sum of its proper divisors (236103507960).

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

110385705000 is a wasteful number, since it uses less digits than its factorization.

110385705000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35117 (or 35098 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 110385705000 in words is "one hundred ten billion, three hundred eighty-five million, seven hundred five thousand".