55560100 has 36 divisors (see below), whose sum is σ = 121781268. Its totient is φ = 22000000.

The previous prime is 55560083. The next prime is 55560121. The reversal of 55560100 is 106555.

It can be written as a sum of positive squares in 6 ways, for example, as 11682724 + 43877376 = 3418^2 + 6624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7350 + ... + 12850.

It is an arithmetic number, because the mean of its divisors is an integer number (3382813).

Almost surely, 2^55560100 is an apocalyptic number.

55560100 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 55560100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60890634).

55560100 is an abundant number, since it is smaller than the sum of its proper divisors (66221168).

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

55560100 is a wasteful number, since it uses less digits than its factorization.

55560100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 55560100 is about 7453.8647693663. The cubic root of 55560100 is about 381.5818180813.

Adding to 55560100 its reverse (106555), we get a palindrome (55666655).

The spelling of 55560100 in words is "fifty-five million, five hundred sixty thousand, one hundred".