54575100 has 288 divisors, whose sum is σ = 196862400. Its totient is φ = 12902400.

The previous prime is 54575089. The next prime is 54575123. The reversal of 54575100 is 157545.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1331080 + ... + 1331120.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 2^54575100 is an apocalyptic number.

54575100 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 54575100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98431200).

54575100 is an abundant number, since it is smaller than the sum of its proper divisors (142287300).

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

54575100 is a wasteful number, since it uses less digits than its factorization.

54575100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 54575100 is about 7387.4961928924. The cubic root of 54575100 is about 379.3133954253.

The spelling of 54575100 in words is "fifty-four million, five hundred seventy-five thousand, one hundred".