54106680 has 96 divisors (see below), whose sum is σ = 171450000. Its totient is φ = 13658112.

The previous prime is 54106673. The next prime is 54106681. The reversal of 54106680 is 8660145.

54106680 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54106681) 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 23 ways as a sum of consecutive naturals, for example, 42696 + ... + 43944.

Almost surely, 2^54106680 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 54106680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85725000).

54106680 is an abundant number, since it is smaller than the sum of its proper divisors (117343320).

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

54106680 is a wasteful number, since it uses less digits than its factorization.

54106680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 54106680 is about 7355.7243015219. The cubic root of 54106680 is about 378.2250556429.

It can be divided in two parts, 5410 and 6680, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 54106680 in words is "fifty-four million, one hundred six thousand, six hundred eighty".