54188900 has 18 divisors (see below), whose sum is σ = 117590130. Its totient is φ = 21675520.

The previous prime is 54188891. The next prime is 54188903. The reversal of 54188900 is 988145.

It can be written as a sum of positive squares in 3 ways, for example, as 107584 + 54081316 = 328^2 + 7354^2 .

It is not an unprimeable number, because it can be changed into a prime (54188903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 270845 + ... + 271044.

It is an arithmetic number, because the mean of its divisors is an integer number (6532785).

Almost surely, 2^54188900 is an apocalyptic number.

54188900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54188900 is an abundant number, since it is smaller than the sum of its proper divisors (63401230).

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

54188900 is a wasteful number, since it uses less digits than its factorization.

54188900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541903 (or 541896 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 54188900 is about 7361.3110245390. The cubic root of 54188900 is about 378.4165410902.

The spelling of 54188900 in words is "fifty-four million, one hundred eighty-eight thousand, nine hundred".