55578100 has 36 divisors (see below), whose sum is σ = 127702764. Its totient is φ = 20922880.

The previous prime is 55578053. The next prime is 55578109. The reversal of 55578100 is 187555.

It can be written as a sum of positive squares in 6 ways, for example, as 5253264 + 50324836 = 2292^2 + 7094^2 .

It is a super-3 number, since 3×55578100³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55578109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14647 + ... + 18046.

It is an arithmetic number, because the mean of its divisors is an integer number (3547299).

Almost surely, 2^55578100 is an apocalyptic number.

55578100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55578100 is an abundant number, since it is smaller than the sum of its proper divisors (72124664).

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

55578100 is a wasteful number, since it uses less digits than its factorization.

55578100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32724 (or 32717 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 31.

The square root of 55578100 is about 7455.0720989136. The cubic root of 55578100 is about 381.6230210977.

The spelling of 55578100 in words is "fifty-five million, five hundred seventy-eight thousand, one hundred".