105005001060505 has 64 divisors (see below), whose sum is σ = 164219316710400. Its totient is φ = 62550291308544.

The previous prime is 105005001060503. The next prime is 105005001060511. The reversal of 105005001060505 is 505060100500501.

It is not a de Polignac number, because 105005001060505 - 2¹ = 105005001060503 is a prime.

It is a super-2 number, since 2×105005001060505² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005001060503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103274596 + ... + 104286394.

It is an arithmetic number, because the mean of its divisors is an integer number (2565926823600).

Almost surely, 2^{105005001060505} is an apocalyptic number.

It is an amenable number.

105005001060505 is a deficient number, since it is larger than the sum of its proper divisors (59214315649895).

105005001060505 is a wasteful number, since it uses less digits than its factorization.

105005001060505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025258.

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 105005001060505 in words is "one hundred five trillion, five billion, one million, sixty thousand, five hundred five".