110005920 has 144 divisors (see below), whose sum is σ = 380540160. Its totient is φ = 28933632.

The previous prime is 110005901. The next prime is 110005927. The reversal of 110005920 is 29500011.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110005893 and 110005902.

It is not an unprimeable number, because it can be changed into a prime (110005927) 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, 113277 + ... + 114243.

It is an arithmetic number, because the mean of its divisors is an integer number (2642640).

Almost surely, 2^110005920 is an apocalyptic number.

110005920 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 110005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190270080).

110005920 is an abundant number, since it is smaller than the sum of its proper divisors (270534240).

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

110005920 is a wasteful number, since it uses less digits than its factorization.

110005920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 110005920 is about 10488.3707028308. The cubic root of 110005920 is about 479.1505810689.

Adding to 110005920 its reverse (29500011), we get a palindrome (139505931).

The spelling of 110005920 in words is "one hundred ten million, five thousand, nine hundred twenty".