205355103000 has 128 divisors (see below), whose sum is σ = 640877365440. Its totient is φ = 54746880000.

The previous prime is 205355102987. The next prime is 205355103001. The reversal of 205355103000 is 301553502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205355103001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16136640 + ... + 16149360.

Almost surely, 2^205355103000 is an apocalyptic number.

205355103000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205355103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320438682720).

205355103000 is an abundant number, since it is smaller than the sum of its proper divisors (435522262440).

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

205355103000 is a wasteful number, since it uses less digits than its factorization.

205355103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18126 (or 18112 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

Adding to 205355103000 its reverse (301553502), we get a palindrome (205656656502).

The spelling of 205355103000 in words is "two hundred five billion, three hundred fifty-five million, one hundred three thousand".