205313435103400 has 96 divisors (see below), whose sum is σ = 541129742042400. Its totient is φ = 71818140844800.

The previous prime is 205313435103323. The next prime is 205313435103401. The reversal of 205313435103400 is 4301534313502.

It is not an unprimeable number, because it can be changed into a prime (205313435103401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2078021806 + ... + 2078120605.

It is an arithmetic number, because the mean of its divisors is an integer number (5636768146275).

Almost surely, 2^{205313435103400} is an apocalyptic number.

205313435103400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205313435103400 is an abundant number, since it is smaller than the sum of its proper divisors (335816306939000).

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

205313435103400 is a wasteful number, since it uses less digits than its factorization.

205313435103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156142459 (or 4156142450 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

Adding to 205313435103400 its reverse (4301534313502), we get a palindrome (209614969416902).

The spelling of 205313435103400 in words is "two hundred five trillion, three hundred thirteen billion, four hundred thirty-five million, one hundred three thousand, four hundred".