55331100 has 288 divisors, whose sum is σ = 204986880. Its totient is φ = 12830400.

The previous prime is 55331093. The next prime is 55331119. The reversal of 55331100 is 113355.

It is a happy number.

55331100 is a `hidden beast` number, since 553 + 3 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2405689 + ... + 2405711.

It is an arithmetic number, because the mean of its divisors is an integer number (711760).

Almost surely, 2^55331100 is an apocalyptic number.

55331100 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 55331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102493440).

55331100 is an abundant number, since it is smaller than the sum of its proper divisors (149655780).

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

55331100 is a wasteful number, since it uses less digits than its factorization.

55331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 55331100 is about 7438.4877495362. The cubic root of 55331100 is about 381.0568456319.

Adding to 55331100 its reverse (113355), we get a palindrome (55444455).

The spelling of 55331100 in words is "fifty-five million, three hundred thirty-one thousand, one hundred".