205100008 has 8 divisors (see below), whose sum is σ = 384562530. Its totient is φ = 102550000.

The previous prime is 205099987. The next prime is 205100009. The reversal of 205100008 is 800001502.

It is a happy number.

205100008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 144913444 + 60186564 = 12038^2 + 7758^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 205099964 and 205100000.

It is not an unprimeable number, because it can be changed into a prime (205100009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12818743 + ... + 12818758.

Almost surely, 2^205100008 is an apocalyptic number.

It is an amenable number.

205100008 is a deficient number, since it is larger than the sum of its proper divisors (179462522).

205100008 is a wasteful number, since it uses less digits than its factorization.

205100008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25637507 (or 25637503 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 205100008 is about 14321.3130682909. The cubic root of 205100008 is about 589.7327219905.

The spelling of 205100008 in words is "two hundred five million, one hundred thousand, eight".