11110556106 has 64 divisors (see below), whose sum is σ = 26852797440. Its totient is φ = 3384763200.

The previous prime is 11110556089. The next prime is 11110556113. The reversal of 11110556106 is 60165501111.

11110556106 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 0 + 556 + 106 = 666.

11110556106 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11110556106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7450 + ... + 149253.

It is an arithmetic number, because the mean of its divisors is an integer number (419574960).

Almost surely, 2^11110556106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110556106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426398720).

11110556106 is an abundant number, since it is smaller than the sum of its proper divisors (15742241334).

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

11110556106 is a wasteful number, since it uses less digits than its factorization.

11110556106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156828 (or 156822 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 11110556106 in words is "eleven billion, one hundred ten million, five hundred fifty-six thousand, one hundred six".