75324605610105 has 12 divisors (see below), whose sum is σ = 130562649724260. Its totient is φ = 40173122992032.

The previous prime is 75324605610103. The next prime is 75324605610157. The reversal of 75324605610105 is 50101650642357.

75324605610105 is a `hidden beast` number, since 7 + 5 + 3 + 24 + 6 + 0 + 5 + 610 + 1 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20172772770921 + 55151832839184 = 4491411^2 + 7426428^2 .

It is not a de Polignac number, because 75324605610105 - 2¹ = 75324605610103 is a prime.

It is a super-2 number, since 2×75324605610105² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1673880124669 = 75324605610105 / (7 + 5 + 3 + 2 + 4 + 6 + 0 + 5 + 6 + 1 + 0 + 1 + 0 + 5).

It is not an unprimeable number, because it can be changed into a prime (75324605610101) 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 11 ways as a sum of consecutive naturals, for example, 836940062290 + ... + 836940062379.

It is an arithmetic number, because the mean of its divisors is an integer number (10880220810355).

Almost surely, 2^{75324605610105} is an apocalyptic number.

It is an amenable number.

75324605610105 is a deficient number, since it is larger than the sum of its proper divisors (55238044114155).

75324605610105 is a wasteful number, since it uses less digits than its factorization.

75324605610105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673880124680 (or 1673880124677 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 75324605610105 in words is "seventy-five trillion, three hundred twenty-four billion, six hundred five million, six hundred ten thousand, one hundred five".