205105250345541 has 48 divisors (see below), whose sum is σ = 342234942929280. Its totient is φ = 106971796039680.

The previous prime is 205105250345503. The next prime is 205105250345563. The reversal of 205105250345541 is 145543052501502.

It is a happy number.

It is not a de Polignac number, because 205105250345541 - 2²⁹ = 205104713474629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205105250345493 and 205105250345502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205105250345341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324360580 + ... + 324992301.

It is an arithmetic number, because the mean of its divisors is an integer number (7129894644360).

Almost surely, 2^{205105250345541} is an apocalyptic number.

205105250345541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

205105250345541 is a deficient number, since it is larger than the sum of its proper divisors (137129692583739).

205105250345541 is a wasteful number, since it uses less digits than its factorization.

205105250345541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649353006 (or 649352993 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 42.

The spelling of 205105250345541 in words is "two hundred five trillion, one hundred five billion, two hundred fifty million, three hundred forty-five thousand, five hundred forty-one".