10555105556106 has 72 divisors (see below), whose sum is σ = 24788733527844. Its totient is φ = 3243104904960.

The previous prime is 10555105556077. The next prime is 10555105556119. The reversal of 10555105556106 is 60165550155501.

10555105556106 is a `hidden beast` number, since 10 + 5 + 5 + 5 + 10 + 5 + 5 + 5 + 610 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10477256185881 + 77849370225 = 3236859^2 + 279015^2 .

It is a super-2 number, since 2×10555105556106² (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 35 ways as a sum of consecutive naturals, for example, 21710415 + ... + 22191266.

Almost surely, 2^{10555105556106} is an apocalyptic number.

10555105556106 is an abundant number, since it is smaller than the sum of its proper divisors (14233627971738).

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

10555105556106 is a wasteful number, since it uses less digits than its factorization.

10555105556106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43901764 (or 43901742 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 45.

The spelling of 10555105556106 in words is "ten trillion, five hundred fifty-five billion, one hundred five million, five hundred fifty-six thousand, one hundred six".