10656616106106 has 24 divisors (see below), whose sum is σ = 23120079712704. Its totient is φ = 3547475397000.

The previous prime is 10656616106089. The next prime is 10656616106117. The reversal of 10656616106106 is 60160161665601.

10656616106106 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 6 + 6 + 16 + 10 + 610 + 6 = 666.

10656616106106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10656616106106² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394150416 + ... + 394177451.

It is an arithmetic number, because the mean of its divisors is an integer number (963336654696).

Almost surely, 2^{10656616106106} is an apocalyptic number.

10656616106106 is an abundant number, since it is smaller than the sum of its proper divisors (12463463606598).

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

10656616106106 is a wasteful number, since it uses less digits than its factorization.

10656616106106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788328626 (or 788328623 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10656616106106 in words is "ten trillion, six hundred fifty-six billion, six hundred sixteen million, one hundred six thousand, one hundred six".