54984100 has 72 divisors (see below), whose sum is σ = 128707040. Its totient is φ = 20321280.

The previous prime is 54984089. The next prime is 54984107. The reversal of 54984100 is 148945.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54984107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81364 + ... + 82036.

Almost surely, 2^54984100 is an apocalyptic number.

54984100 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 54984100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64353520).

54984100 is an abundant number, since it is smaller than the sum of its proper divisors (73722940).

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

54984100 is a wasteful number, since it uses less digits than its factorization.

54984100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 54984100 is about 7415.1264318284. The cubic root of 54984100 is about 380.2585959114.

The spelling of 54984100 in words is "fifty-four million, nine hundred eighty-four thousand, one hundred".