105505050505 has 32 divisors (see below), whose sum is σ = 135591782400. Its totient is φ = 78569652672.

The previous prime is 105505050479. The next prime is 105505050527. The reversal of 105505050505 is 505050505501.

It is a cyclic number.

It is not a de Polignac number, because 105505050505 - 2⁵ = 105505050473 is a prime.

It is a super-2 number, since 2×105505050505² (a number of 23 digits) contains 22 as substring.

105505050505 is a modest number, since divided by 5050505 gives 1055 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20416432 + ... + 20421598.

It is an arithmetic number, because the mean of its divisors is an integer number (4237243200).

Almost surely, 2^105505050505 is an apocalyptic number.

It is an amenable number.

105505050505 is a deficient number, since it is larger than the sum of its proper divisors (30086731895).

105505050505 is a wasteful number, since it uses less digits than its factorization.

105505050505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893.

The product of its (nonzero) digits is 15625, while the sum is 31.

The spelling of 105505050505 in words is "one hundred five billion, five hundred five million, fifty thousand, five hundred five".