205742100 has 144 divisors (see below), whose sum is σ = 625584960. Its totient is φ = 52147200.

The previous prime is 205742093. The next prime is 205742111. The reversal of 205742100 is 1247502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528706 + ... + 529094.

It is an arithmetic number, because the mean of its divisors is an integer number (4344340).

Almost surely, 2^205742100 is an apocalyptic number.

205742100 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 205742100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312792480).

205742100 is an abundant number, since it is smaller than the sum of its proper divisors (419842860).

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

205742100 is a wasteful number, since it uses less digits than its factorization.

205742100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 205742100 is about 14343.7129084488. The cubic root of 205742100 is about 590.3474923192.

Adding to 205742100 its reverse (1247502), we get a palindrome (206989602).

The spelling of 205742100 in words is "two hundred five million, seven hundred forty-two thousand, one hundred".