18105120 has 240 divisors, whose sum is σ = 70253568. Its totient is φ = 4354560.

The previous prime is 18105103. The next prime is 18105121. The reversal of 18105120 is 2150181.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 18105093 and 18105102.

It is not an unprimeable number, because it can be changed into a prime (18105121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142497 + ... + 142623.

Almost surely, 2^18105120 is an apocalyptic number.

18105120 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 18105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35126784).

18105120 is an abundant number, since it is smaller than the sum of its proper divisors (52148448).

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

18105120 is a wasteful number, since it uses less digits than its factorization.

18105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 18105120 is about 4255.0111633226. The cubic root of 18105120 is about 262.5833204891.

It can be divided in two parts, 18105 and 120, that added together give a square (18225 = 135²).

The spelling of 18105120 in words is "eighteen million, one hundred five thousand, one hundred twenty".