18100920 has 128 divisors (see below), whose sum is σ = 60652800. Its totient is φ = 4294656.

The previous prime is 18100919. The next prime is 18100961. The reversal of 18100920 is 2900181.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38527 + ... + 38993.

It is an arithmetic number, because the mean of its divisors is an integer number (473850).

Almost surely, 2^18100920 is an apocalyptic number.

18100920 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 18100920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30326400).

18100920 is an abundant number, since it is smaller than the sum of its proper divisors (42551880).

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

18100920 is a wasteful number, since it uses less digits than its factorization.

18100920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 18100920 is about 4254.5175989764. The cubic root of 18100920 is about 262.5630143504.

The spelling of 18100920 in words is "eighteen million, one hundred thousand, nine hundred twenty".