54888100 has 36 divisors (see below), whose sum is σ = 119617344. Its totient is φ = 21861280.

The previous prime is 54888077. The next prime is 54888101. The reversal of 54888100 is 188845.

It is a super-2 number, since 2×54888100² = 6025407043220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54888101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25257 + ... + 27343.

It is an arithmetic number, because the mean of its divisors is an integer number (3322704).

Almost surely, 2^54888100 is an apocalyptic number.

54888100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54888100 is an abundant number, since it is smaller than the sum of its proper divisors (64729244).

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

54888100 is a wasteful number, since it uses less digits than its factorization.

54888100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 54888100 is about 7408.6503494226. The cubic root of 54888100 is about 380.0371616473.

The spelling of 54888100 in words is "fifty-four million, eight hundred eighty-eight thousand, one hundred".