181080900 has 576 divisors, whose sum is σ = 793282560. Its totient is φ = 34214400.

The previous prime is 181080871. The next prime is 181080917. The reversal of 181080900 is 9080181.

181080900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2702667 + ... + 2702733.

Almost surely, 2^181080900 is an apocalyptic number.

181080900 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 181080900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396641280).

181080900 is an abundant number, since it is smaller than the sum of its proper divisors (612201660).

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

181080900 is a wasteful number, since it uses less digits than its factorization.

181080900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 181080900 is about 13456.6303360091. The cubic root of 181080900 is about 565.7495468642.

The spelling of 181080900 in words is "one hundred eighty-one million, eighty thousand, nine hundred".