55601106 has 64 divisors (see below), whose sum is σ = 129254400. Its totient is φ = 15768000.

The previous prime is 55601071. The next prime is 55601123. The reversal of 55601106 is 60110655.

55601106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126435 + ... + 126873.

It is an arithmetic number, because the mean of its divisors is an integer number (2019600).

Almost surely, 2^55601106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55601106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64627200).

55601106 is an abundant number, since it is smaller than the sum of its proper divisors (73653294).

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

55601106 is a wasteful number, since it uses less digits than its factorization.

55601106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 55601106 is about 7456.6149156303. The cubic root of 55601106 is about 381.6756701812.

It can be divided in two parts, 5560 and 1106, that added together give a palindrome (6666).

The spelling of 55601106 in words is "fifty-five million, six hundred one thousand, one hundred six".