205104680 has 96 divisors (see below), whose sum is σ = 523998720. Its totient is φ = 72124800.

The previous prime is 205104671. The next prime is 205104689. The reversal of 205104680 is 86401502.

It is an interprime number because it is at equal distance from previous prime (205104671) and next prime (205104689).

It is not an unprimeable number, because it can be changed into a prime (205104689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149357 + ... + 150723.

It is an arithmetic number, because the mean of its divisors is an integer number (5458320).

Almost surely, 2^205104680 is an apocalyptic number.

205104680 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 205104680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261999360).

205104680 is an abundant number, since it is smaller than the sum of its proper divisors (318894040).

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

205104680 is a wasteful number, since it uses less digits than its factorization.

205104680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 205104680 is about 14321.4761808970. The cubic root of 205104680 is about 589.7371998228.

The spelling of 205104680 in words is "two hundred five million, one hundred four thousand, six hundred eighty".