10505495106 has 24 divisors (see below), whose sum is σ = 22856363244. Its totient is φ = 3487299840.

The previous prime is 10505495087. The next prime is 10505495123. The reversal of 10505495106 is 60159450501.

10505495106 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 549 + 5 + 106 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10181819025 + 323676081 = 100905^2 + 17991^2 .

It is a super-2 number, since 2×10505495106² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1206531 + ... + 1215206.

Almost surely, 2^10505495106 is an apocalyptic number.

10505495106 is an abundant number, since it is smaller than the sum of its proper divisors (12350868138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10505495106 is a wasteful number, since it uses less digits than its factorization.

10505495106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421986 (or 2421983 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 10505495106 in words is "ten billion, five hundred five million, four hundred ninety-five thousand, one hundred six".