205734900 has 108 divisors (see below), whose sum is σ = 682477152. Its totient is φ = 46874880.

The previous prime is 205734899. The next prime is 205734937. The reversal of 205734900 is 9437502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 657144 + ... + 657456.

Almost surely, 2^205734900 is an apocalyptic number.

205734900 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 205734900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341238576).

205734900 is an abundant number, since it is smaller than the sum of its proper divisors (476742252).

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

205734900 is a wasteful number, since it uses less digits than its factorization.

205734900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 205734900 is about 14343.4619252118. The cubic root of 205734900 is about 590.3406057825.

The spelling of 205734900 in words is "two hundred five million, seven hundred thirty-four thousand, nine hundred".