10656115616106 has 24 divisors (see below), whose sum is σ = 23404527908580. Its totient is φ = 3503380476096.

The previous prime is 10656115616071. The next prime is 10656115616117. The reversal of 10656115616106 is 60161651165601.

10656115616106 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 6 + 1 + 15 + 616 + 10 + 6 = 666.

10656115616106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10449967834881 + 206147781225 = 3232641^2 + 454035^2 .

It is a super-2 number, since 2×10656115616106² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

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, 4054837201 + ... + 4054839828.

Almost surely, 2^{10656115616106} is an apocalyptic number.

10656115616106 is an abundant number, since it is smaller than the sum of its proper divisors (12748412292474).

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

10656115616106 is a wasteful number, since it uses less digits than its factorization.

10656115616106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8109677110 (or 8109677107 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 10656115616106 in words is "ten trillion, six hundred fifty-six billion, one hundred fifteen million, six hundred sixteen thousand, one hundred six".