192820090900 has 36 divisors (see below), whose sum is σ = 418443217920. Its totient is φ = 77123682400.

The previous prime is 192820090873. The next prime is 192820090901. The reversal of 192820090900 is 9090028291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192820090901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2183811 + ... + 2270389.

It is an arithmetic number, because the mean of its divisors is an integer number (11623422720).

Almost surely, 2^192820090900 is an apocalyptic number.

192820090900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

192820090900 is an abundant number, since it is smaller than the sum of its proper divisors (225623127020).

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

192820090900 is a wasteful number, since it uses less digits than its factorization.

192820090900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108864 (or 108857 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 192820090900 in words is "one hundred ninety-two billion, eight hundred twenty million, ninety thousand, nine hundred".