105010505010506 has 16 divisors (see below), whose sum is σ = 163102671333000. Its totient is φ = 50646399810048.

The previous prime is 105010505010449. The next prime is 105010505010529. The reversal of 105010505010506 is 605010505010501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 83644468690225 + 21366036320281 = 9145735^2 + 4622341^2 .

It is a super-2 number, since 2×105010505010506² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862916255 + ... + 863037938.

Almost surely, 2^{105010505010506} is an apocalyptic number.

105010505010506 is a deficient number, since it is larger than the sum of its proper divisors (58092166322494).

105010505010506 is a wasteful number, since it uses less digits than its factorization.

105010505010506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725955273.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 105010505010506 in words is "one hundred five trillion, ten billion, five hundred five million, ten thousand, five hundred six".