55518100 has 72 divisors (see below), whose sum is σ = 134741376. Its totient is φ = 19680000.

The previous prime is 55518077. The next prime is 55518101. The reversal of 55518100 is 181555.

55518100 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 2×55518100² = 6164518855220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55518101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44485 + ... + 45715.

It is an arithmetic number, because the mean of its divisors is an integer number (1871408).

Almost surely, 2^55518100 is an apocalyptic number.

55518100 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 55518100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67370688).

55518100 is an abundant number, since it is smaller than the sum of its proper divisors (79223276).

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

55518100 is a wasteful number, since it uses less digits than its factorization.

55518100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 25.

The square root of 55518100 is about 7451.0469063079. The cubic root of 55518100 is about 381.4856430901.

Adding to 55518100 its reverse (181555), we get a palindrome (55699655).

The spelling of 55518100 in words is "fifty-five million, five hundred eighteen thousand, one hundred".