205002150 has 72 divisors (see below), whose sum is σ = 540184920. Its totient is φ = 51440640.

The previous prime is 205002139. The next prime is 205002157. The reversal of 205002150 is 51200502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205002157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40986 + ... + 45714.

Almost surely, 2^205002150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205002150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270092460).

205002150 is an abundant number, since it is smaller than the sum of its proper divisors (335182770).

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

205002150 is a wasteful number, since it uses less digits than its factorization.

205002150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4778 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 205002150 is about 14317.8961443363. The cubic root of 205002150 is about 589.6389153219.

Adding to 205002150 its reverse (51200502), we get a palindrome (256202652).

The spelling of 205002150 in words is "two hundred five million, two thousand, one hundred fifty".