205335020100 has 144 divisors (see below), whose sum is σ = 679223638016. Its totient is φ = 46916496000.

The previous prime is 205335020029. The next prime is 205335020117. The reversal of 205335020100 is 1020533502.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6222645 + ... + 6255555.

Almost surely, 2^205335020100 is an apocalyptic number.

205335020100 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 205335020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339611819008).

205335020100 is an abundant number, since it is smaller than the sum of its proper divisors (473888617916).

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

205335020100 is a wasteful number, since it uses less digits than its factorization.

205335020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35906 (or 35899 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

Adding to 205335020100 its reverse (1020533502), we get a palindrome (206355553602).

The spelling of 205335020100 in words is "two hundred five billion, three hundred thirty-five million, twenty thousand, one hundred".