54123300 has 324 divisors, whose sum is σ = 216111168. Its totient is φ = 11088000.

The previous prime is 54123281. The next prime is 54123313. The reversal of 54123300 is 332145.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 762265 + ... + 762335.

Almost surely, 2^54123300 is an apocalyptic number.

54123300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108055584).

54123300 is an abundant number, since it is smaller than the sum of its proper divisors (161987868).

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

54123300 is a wasteful number, since it uses less digits than its factorization.

54123300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 54123300 is about 7356.8539471706. The cubic root of 54123300 is about 378.2637782609.

Adding to 54123300 its reverse (332145), we get a palindrome (54455445).

The spelling of 54123300 in words is "fifty-four million, one hundred twenty-three thousand, three hundred".