10611616616106 has 64 divisors (see below), whose sum is σ = 23804835489792. Its totient is φ = 3125634480000.

The previous prime is 10611616616099. The next prime is 10611616616123. The reversal of 10611616616106 is 60161661611601.

It is a super-2 number, since 2×10611616616106² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6501940 + ... + 7968591.

It is an arithmetic number, because the mean of its divisors is an integer number (371950554528).

Almost surely, 2^{10611616616106} is an apocalyptic number.

10611616616106 is an abundant number, since it is smaller than the sum of its proper divisors (13193218873686).

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

10611616616106 is a wasteful number, since it uses less digits than its factorization.

10611616616106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14470859.

The product of its (nonzero) digits is 46656, while the sum is 42.

It can be divided in two parts, 10 and 611616616106, that added together give a palindrome (611616616116).

The spelling of 10611616616106 in words is "ten trillion, six hundred eleven billion, six hundred sixteen million, six hundred sixteen thousand, one hundred six".