56106006 has 48 divisors (see below), whose sum is σ = 124647600. Its totient is φ = 16822080.

The previous prime is 56105977. The next prime is 56106007. The reversal of 56106006 is 60060165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56106007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78780 + ... + 79488.

It is an arithmetic number, because the mean of its divisors is an integer number (2596825).

Almost surely, 2^56106006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56106006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62323800).

56106006 is an abundant number, since it is smaller than the sum of its proper divisors (68541594).

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

56106006 is a wasteful number, since it uses less digits than its factorization.

56106006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 56106006 is about 7490.3942486360. The cubic root of 56106006 is about 382.8274917500.

The spelling of 56106006 in words is "fifty-six million, one hundred six thousand, six".