55286100 has 108 divisors (see below), whose sum is σ = 177113664. Its totient is φ = 14418240.

The previous prime is 55286071. The next prime is 55286107. The reversal of 55286100 is 168255.

55286100 is a `hidden beast` number, since 552 + 8 + 6 + 100 = 666.

55286100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55286107) 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 35 ways as a sum of consecutive naturals, for example, 41647 + ... + 42953.

Almost surely, 2^55286100 is an apocalyptic number.

55286100 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 55286100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88556832).

55286100 is an abundant number, since it is smaller than the sum of its proper divisors (121827564).

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

55286100 is a wasteful number, since it uses less digits than its factorization.

55286100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 55286100 is about 7435.4623259082. The cubic root of 55286100 is about 380.9535149024.

It can be divided in two parts, 5528 and 6100, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 55286100 in words is "fifty-five million, two hundred eighty-six thousand, one hundred".