205100540 has 48 divisors (see below), whose sum is σ = 447068160. Its totient is φ = 78980160.

The previous prime is 205100531. The next prime is 205100569. The reversal of 205100540 is 45001502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59381 + ... + 62739.

It is an arithmetic number, because the mean of its divisors is an integer number (9313920).

Almost surely, 2^205100540 is an apocalyptic number.

205100540 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 205100540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).

205100540 is an abundant number, since it is smaller than the sum of its proper divisors (241967620).

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

205100540 is a wasteful number, since it uses less digits than its factorization.

205100540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 205100540 is about 14321.3316419947. The cubic root of 205100540 is about 589.7332318841.

The spelling of 205100540 in words is "two hundred five million, one hundred thousand, five hundred forty".