205105140 has 36 divisors (see below), whose sum is σ = 622152804. Its totient is φ = 54694656.

The previous prime is 205105129. The next prime is 205105151. The reversal of 205105140 is 41501502.

205105140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205105129) and next prime (205105151).

It can be written as a sum of positive squares in 2 ways, for example, as 128051856 + 77053284 = 11316^2 + 8778^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 569557 + ... + 569916.

Almost surely, 2^205105140 is an apocalyptic number.

205105140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205105140 is an abundant number, since it is smaller than the sum of its proper divisors (417047664).

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

205105140 is a wasteful number, since it uses less digits than its factorization.

205105140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139488 (or 1139483 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 205105140 is about 14321.4922406850. The cubic root of 205105140 is about 589.7376407016.

Adding to 205105140 its reverse (41501502), we get a palindrome (246606642).

The spelling of 205105140 in words is "two hundred five million, one hundred five thousand, one hundred forty".