205107040 has 48 divisors (see below), whose sum is σ = 513076032. Its totient is φ = 77215744.

The previous prime is 205107017. The next prime is 205107041. The reversal of 205107040 is 40701502.

205107040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 205106999 and 205107017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205107041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34984 + ... + 40423.

It is an arithmetic number, because the mean of its divisors is an integer number (10689084).

Almost surely, 2^205107040 is an apocalyptic number.

205107040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205107040 is an abundant number, since it is smaller than the sum of its proper divisors (307968992).

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

205107040 is a wasteful number, since it uses less digits than its factorization.

205107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75439 (or 75431 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 205107040 is about 14321.5585744010. The cubic root of 205107040 is about 589.7394617157.

Adding to 205107040 its reverse (40701502), we get a palindrome (245808542).

The spelling of 205107040 in words is "two hundred five million, one hundred seven thousand, forty".