54105180 has 96 divisors (see below), whose sum is σ = 157833984. Its totient is φ = 13837824.

The previous prime is 54105167. The next prime is 54105193. The reversal of 54105180 is 8150145.

54105180 = T₃₈₀ + T₃₈₁ + ... + T₇₂₃.

54105180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54105167) and next prime (54105193).

It is a self number, because there is not a number n which added to its sum of digits gives 54105180.

It is a congruent 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, 172704 + ... + 173016.

It is an arithmetic number, because the mean of its divisors is an integer number (1644104).

Almost surely, 2^54105180 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 54105180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78916992).

54105180 is an abundant number, since it is smaller than the sum of its proper divisors (103728804).

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

54105180 is a wasteful number, since it uses less digits than its factorization.

54105180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 54105180 is about 7355.6223394081. The cubic root of 54105180 is about 378.2215604317.

It can be divided in two parts, 54105 and 180, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 54105180 in words is "fifty-four million, one hundred five thousand, one hundred eighty".