10056106010106 has 48 divisors (see below), whose sum is σ = 24699207755040. Its totient is φ = 2931334544160.

The previous prime is 10056106010089. The next prime is 10056106010117. The reversal of 10056106010106 is 60101060165001.

10056106010106 is a `hidden beast` number, since 1 + 0 + 0 + 56 + 1 + 0 + 601 + 0 + 1 + 0 + 6 = 666.

10056106010106 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 2×10056106010106² (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 10056106010106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1130911660 + ... + 1130920551.

It is an arithmetic number, because the mean of its divisors is an integer number (514566828230).

Almost surely, 2^{10056106010106} is an apocalyptic number.

10056106010106 is an abundant number, since it is smaller than the sum of its proper divisors (14643101744934).

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

10056106010106 is a wasteful number, since it uses less digits than its factorization.

10056106010106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261832251 (or 2261832248 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 10056106010106 its reverse (60101060165001), we get a palindrome (70157166175107).

The spelling of 10056106010106 in words is "ten trillion, fifty-six billion, one hundred six million, ten thousand, one hundred six".