54462100 has 108 divisors (see below), whose sum is σ = 148691872. Its totient is φ = 16948800.

The previous prime is 54462097. The next prime is 54462167. The reversal of 54462100 is 126445.

54462100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54462100² = 5932240672820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84379 + ... + 85021.

Almost surely, 2^54462100 is an apocalyptic number.

54462100 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 54462100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74345936).

54462100 is an abundant number, since it is smaller than the sum of its proper divisors (94229772).

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

54462100 is a wasteful number, since it uses less digits than its factorization.

54462100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 54462100 is about 7379.8441717966. The cubic root of 54462100 is about 379.0514198445.

Adding to 54462100 its reverse (126445), we get a palindrome (54588545).

The spelling of 54462100 in words is "fifty-four million, four hundred sixty-two thousand, one hundred".