18100128 has 48 divisors (see below), whose sum is σ = 47839680. Its totient is φ = 5991936.

The previous prime is 18100111. The next prime is 18100151. The reversal of 18100128 is 82100181.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×18100128² = 655229267232768, which contains 22 as substring.

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, 15468 + ... + 16596.

It is an arithmetic number, because the mean of its divisors is an integer number (996660).

Almost surely, 2^18100128 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 18100128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23919840).

18100128 is an abundant number, since it is smaller than the sum of its proper divisors (29739552).

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

18100128 is a wasteful number, since it uses less digits than its factorization.

18100128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 18100128 is about 4254.4245204258. The cubic root of 18100128 is about 262.5591848408.

The spelling of 18100128 in words is "eighteen million, one hundred thousand, one hundred twenty-eight".