205214340100 has 72 divisors (see below), whose sum is σ = 555198090048. Its totient is φ = 63962908800.

The previous prime is 205214340029. The next prime is 205214340119. The reversal of 205214340100 is 1043412502.

205214340100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×205214340100³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13317907 + ... + 13333306.

It is an arithmetic number, because the mean of its divisors is an integer number (7711084584).

Almost surely, 2^205214340100 is an apocalyptic number.

205214340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205214340100 is an abundant number, since it is smaller than the sum of its proper divisors (349983749948).

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

205214340100 is a wasteful number, since it uses less digits than its factorization.

205214340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26651245 (or 26651238 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 205214340100 its reverse (1043412502), we get a palindrome (206257752602).

The spelling of 205214340100 in words is "two hundred five billion, two hundred fourteen million, three hundred forty thousand, one hundred".