10506505840906 has 16 divisors (see below), whose sum is σ = 15915991005000. Its totient is φ = 5201176780800.

The previous prime is 10506505840867. The next prime is 10506505840927. The reversal of 10506505840906 is 60904850560501.

It can be written as a sum of positive squares in 4 ways, for example, as 10464519781881 + 41986059025 = 3234891^2 + 204905^2 .

It is a super-2 number, since 2×10506505840906² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10506505840906.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19140970 + ... + 19682218.

Almost surely, 2^{10506505840906} is an apocalyptic number.

10506505840906 is a deficient number, since it is larger than the sum of its proper divisors (5409485164094).

10506505840906 is a wasteful number, since it uses less digits than its factorization.

10506505840906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637449.

The product of its (nonzero) digits is 1296000, while the sum is 49.

The spelling of 10506505840906 in words is "ten trillion, five hundred six billion, five hundred five million, eight hundred forty thousand, nine hundred six".