54826100 has 108 divisors (see below), whose sum is σ = 141303456. Its totient is φ = 18406080.

The previous prime is 54826099. The next prime is 54826103. The reversal of 54826100 is 162845.

It is a self number, because there is not a number n which added to its sum of digits gives 54826100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54826103) 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 35 ways as a sum of consecutive naturals, for example, 328217 + ... + 328383.

Almost surely, 2^54826100 is an apocalyptic number.

54826100 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 54826100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70651728).

54826100 is an abundant number, since it is smaller than the sum of its proper divisors (86477356).

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

54826100 is a wasteful number, since it uses less digits than its factorization.

54826100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 54826100 is about 7404.4648692529. The cubic root of 54826100 is about 379.8940147639.

Adding to 54826100 its reverse (162845), we get a palindrome (54988945).

The spelling of 54826100 in words is "fifty-four million, eight hundred twenty-six thousand, one hundred".