18106100 has 18 divisors (see below), whose sum is σ = 39290454. Its totient is φ = 7242400.

The previous prime is 18106093. The next prime is 18106157. The reversal of 18106100 is 160181.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3020644 + 15085456 = 1738^2 + 3884^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90431 + ... + 90630.

It is an arithmetic number, because the mean of its divisors is an integer number (2182803).

Almost surely, 2^18106100 is an apocalyptic number.

18106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18106100 is an abundant number, since it is smaller than the sum of its proper divisors (21184354).

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

18106100 is a wasteful number, since it uses less digits than its factorization.

18106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181075 (or 181068 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 18106100 is about 4255.1263200991. The cubic root of 18106100 is about 262.5880581363.

Adding to 18106100 its reverse (160181), we get a palindrome (18266281).

The spelling of 18106100 in words is "eighteen million, one hundred six thousand, one hundred".