205142004 has 96 divisors (see below), whose sum is σ = 557383680. Its totient is φ = 65167200.

The previous prime is 205141987. The next prime is 205142017. The reversal of 205142004 is 400241502.

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 31 ways as a sum of consecutive naturals, for example, 237277 + ... + 238139.

It is an arithmetic number, because the mean of its divisors is an integer number (5806080).

Almost surely, 2^205142004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205142004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278691840).

205142004 is an abundant number, since it is smaller than the sum of its proper divisors (352241676).

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

205142004 is a wasteful number, since it uses less digits than its factorization.

205142004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 205142004 is about 14322.7791995827. The cubic root of 205142004 is about 589.7729702015.

Adding to 205142004 its reverse (400241502), we get a palindrome (605383506).

The spelling of 205142004 in words is "two hundred five million, one hundred forty-two thousand, four".