205084104940 has 192 divisors, whose sum is σ = 545595886080. Its totient is φ = 63624960000.

The previous prime is 205084104937. The next prime is 205084105001. The reversal of 205084104940 is 49401480502.

It is a self number, because there is not a number n which added to its sum of digits gives 205084104940.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2181915 + ... + 2273965.

It is an arithmetic number, because the mean of its divisors is an integer number (2841645240).

Almost surely, 2^205084104940 is an apocalyptic number.

205084104940 is a gapful number since it is divisible by the number (20) 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 205084104940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272797943040).

205084104940 is an abundant number, since it is smaller than the sum of its proper divisors (340511781140).

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

205084104940 is a wasteful number, since it uses less digits than its factorization.

205084104940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92144 (or 92142 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 205084104940 in words is "two hundred five billion, eighty-four million, one hundred four thousand, nine hundred forty".