205415224060104 has 48 divisors (see below), whose sum is σ = 556429872405420. Its totient is φ = 68459806103040.

The previous prime is 205415224060097. The next prime is 205415224060301. The reversal of 205415224060104 is 401060422514502.

205415224060104 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 1 + 5 + 2 + 2 + 40 + 601 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 203850718416900 + 1564505643204 = 14277630^2 + 1250802^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248235117 + ... + 249061244.

Almost surely, 2^{205415224060104} is an apocalyptic number.

205415224060104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205415224060104 is an abundant number, since it is smaller than the sum of its proper divisors (351014648345316).

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

205415224060104 is a wasteful number, since it uses less digits than its factorization.

205415224060104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497302110 (or 497302103 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 205415224060104 its reverse (401060422514502), we get a palindrome (606475646574606).

The spelling of 205415224060104 in words is "two hundred five trillion, four hundred fifteen billion, two hundred twenty-four million, sixty thousand, one hundred four".