200105066304 has 224 divisors, whose sum is σ = 691117418880. Its totient is φ = 55973376000.

The previous prime is 200105066281. The next prime is 200105066347. The reversal of 200105066304 is 403660501002.

200105066304 is a `hidden beast` number, since 20 + 0 + 1 + 0 + 5 + 0 + 6 + 630 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 157797 + ... + 652004.

It is an arithmetic number, because the mean of its divisors is an integer number (3085345620).

Almost surely, 2^200105066304 is an apocalyptic number.

200105066304 is a gapful number since it is divisible by the number (24) 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 200105066304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345558709440).

200105066304 is an abundant number, since it is smaller than the sum of its proper divisors (491012352576).

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

200105066304 is a wasteful number, since it uses less digits than its factorization.

200105066304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809846 (or 809830 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 200105066304 its reverse (403660501002), we get a palindrome (603765567306).

The spelling of 200105066304 in words is "two hundred billion, one hundred five million, sixty-six thousand, three hundred four".