105005640521 has 16 divisors (see below), whose sum is σ = 112571078400. Its totient is φ = 97649049168.

The previous prime is 105005640497. The next prime is 105005640539. The reversal of 105005640521 is 125046500501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105005640521 - 2⁶ = 105005640457 is a prime.

It is a super-2 number, since 2×105005640521² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005640121) 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 15 ways as a sum of consecutive naturals, for example, 697070 + ... + 834216.

It is an arithmetic number, because the mean of its divisors is an integer number (7035692400).

Almost surely, 2^105005640521 is an apocalyptic number.

It is an amenable number.

105005640521 is a deficient number, since it is larger than the sum of its proper divisors (7565437879).

105005640521 is a wasteful number, since it uses less digits than its factorization.

105005640521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137908.

The product of its (nonzero) digits is 6000, while the sum is 29.

The spelling of 105005640521 in words is "one hundred five billion, five million, six hundred forty thousand, five hundred twenty-one".