54106668 has 144 divisors (see below), whose sum is σ = 172972800. Its totient is φ = 13852800.

The previous prime is 54106667. The next prime is 54106673. The reversal of 54106668 is 86660145.

54106668 is digitally balanced in base 2, because in such base 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 (36).

It is not an unprimeable number, because it can be changed into a prime (54106667) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 363058 + ... + 363206.

It is an arithmetic number, because the mean of its divisors is an integer number (1201200).

Almost surely, 2^54106668 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 54106668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

54106668 is an abundant number, since it is smaller than the sum of its proper divisors (118866132).

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

54106668 is a wasteful number, since it uses less digits than its factorization.

54106668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54106668 is about 7355.7234858306. The cubic root of 54106668 is about 378.2250276815.

The spelling of 54106668 in words is "fifty-four million, one hundred six thousand, six hundred sixty-eight".