47517105105 has 48 divisors (see below), whose sum is σ = 82917319680. Its totient is φ = 25172294400.

The previous prime is 47517105101. The next prime is 47517105107. The reversal of 47517105105 is 50150171574.

It is a happy number.

47517105105 is a `hidden beast` number, since 4 + 75 + 1 + 71 + 0 + 510 + 5 = 666.

It is not a de Polignac number, because 47517105105 - 2² = 47517105101 is a prime.

It is a super-3 number, since 3×47517105105³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 47517105105.

It is not an unprimeable number, because it can be changed into a prime (47517105101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6347965 + ... + 6355445.

It is an arithmetic number, because the mean of its divisors is an integer number (1727444160).

Almost surely, 2^47517105105 is an apocalyptic number.

47517105105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47517105105 is a deficient number, since it is larger than the sum of its proper divisors (35400214575).

47517105105 is a wasteful number, since it uses less digits than its factorization.

47517105105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422 (or 8419 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 36.

Adding to 47517105105 its reverse (50150171574), we get a palindrome (97667276679).

The spelling of 47517105105 in words is "forty-seven billion, five hundred seventeen million, one hundred five thousand, one hundred five".