205350100 has 36 divisors (see below), whose sum is σ = 469067200. Its totient is φ = 77816160.

The previous prime is 205350091. The next prime is 205350127. The reversal of 205350100 is 1053502.

205350100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52140 + ... + 55939.

Almost surely, 2^205350100 is an apocalyptic number.

205350100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205350100 is an abundant number, since it is smaller than the sum of its proper divisors (263717100).

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

205350100 is a wasteful number, since it uses less digits than its factorization.

205350100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108112 (or 108105 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 205350100 is about 14330.0418701412. The cubic root of 205350100 is about 589.9723246618.

The spelling of 205350100 in words is "two hundred five million, three hundred fifty thousand, one hundred".