181992728100 has 36 divisors (see below), whose sum is σ = 526565627504. Its totient is φ = 48531394080.

The previous prime is 181992728083. The next prime is 181992728111. The reversal of 181992728100 is 1827299181.

181992728100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×181992728100² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 181992728100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303320914 + ... + 303321513.

Almost surely, 2^181992728100 is an apocalyptic number.

181992728100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

181992728100 is an abundant number, since it is smaller than the sum of its proper divisors (344572899404).

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

181992728100 is a wasteful number, since it uses less digits than its factorization.

181992728100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606642444 (or 606642437 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 48.

The spelling of 181992728100 in words is "one hundred eighty-one billion, nine hundred ninety-two million, seven hundred twenty-eight thousand, one hundred".