55366100 has 36 divisors (see below), whose sum is σ = 120505308. Its totient is φ = 22080000.

The previous prime is 55366081. The next prime is 55366109. The reversal of 55366100 is 166355.

55366100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 17960644 + 37405456 = 4238^2 + 6116^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55366100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55366109) 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 11 ways as a sum of consecutive naturals, for example, 45500 + ... + 46700.

Almost surely, 2^55366100 is an apocalyptic number.

55366100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55366100 is an abundant number, since it is smaller than the sum of its proper divisors (65139208).

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

55366100 is a wasteful number, since it uses less digits than its factorization.

55366100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 55366100 is about 7440.8400063434. The cubic root of 55366100 is about 381.1371752503.

The spelling of 55366100 in words is "fifty-five million, three hundred sixty-six thousand, one hundred".