18105952 has 48 divisors (see below), whose sum is σ = 38292912. Its totient is φ = 8396800.

The previous prime is 18105949. The next prime is 18105961. The reversal of 18105952 is 25950181.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44952 + ... + 45352.

It is an arithmetic number, because the mean of its divisors is an integer number (797769).

Almost surely, 2^18105952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18105952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19146456).

18105952 is an abundant number, since it is smaller than the sum of its proper divisors (20186960).

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

18105952 is a wasteful number, since it uses less digits than its factorization.

18105952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 31.

The square root of 18105952 is about 4255.1089292755. The cubic root of 18105952 is about 262.5873426658.

The spelling of 18105952 in words is "eighteen million, one hundred five thousand, nine hundred fifty-two".