10506616510106 has 32 divisors (see below), whose sum is σ = 16124799358080. Its totient is φ = 5132776455936.

The previous prime is 10506616510087. The next prime is 10506616510121. The reversal of 10506616510106 is 60101561660501.

It is a super-2 number, since 2×10506616510106² (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 10506616510106.

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 15 ways as a sum of consecutive naturals, for example, 218968790 + ... + 219016766.

It is an arithmetic number, because the mean of its divisors is an integer number (503899979940).

Almost surely, 2^{10506616510106} is an apocalyptic number.

10506616510106 is a deficient number, since it is larger than the sum of its proper divisors (5618182847974).

10506616510106 is a wasteful number, since it uses less digits than its factorization.

10506616510106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59318.

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 10506616510106 in words is "ten trillion, five hundred six billion, six hundred sixteen million, five hundred ten thousand, one hundred six".