556105116 has 72 divisors (see below), whose sum is σ = 1550284176. Its totient is φ = 154586880.

The previous prime is 556105103. The next prime is 556105117. The reversal of 556105116 is 611501655.

556105116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556105117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8976 + ... + 34536.

Almost surely, 2^556105116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556105116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775142088).

556105116 is an abundant number, since it is smaller than the sum of its proper divisors (994179060).

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

556105116 is a wasteful number, since it uses less digits than its factorization.

556105116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25619 (or 25610 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 556105116 is about 23581.8810954512. The cubic root of 556105116 is about 822.3416686328.

It can be divided in two parts, 55610 and 5116, that added together give a triangular number (60726 = T₃₄₈).

The spelling of 556105116 in words is "five hundred fifty-six million, one hundred five thousand, one hundred sixteen".