255680100 has 243 divisors, whose sum is σ = 889486689. Its totient is φ = 61401600.

The previous prime is 255680077. The next prime is 255680111. The reversal of 255680100 is 1086552.

The square root of 255680100 is 15990.

It is a perfect power (a square), and thus also a powerful number.

255680100 is a `hidden beast` number, since 2 + 556 + 8 + 0 + 100 = 666.

255680100 is digitally balanced in base 3, 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 13 ways, for example, as 231709284 + 23970816 = 15222^2 + 4896^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6236080 + ... + 6236120.

Almost surely, 2^255680100 is an apocalyptic number.

255680100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

255680100 is the 15990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255680100

255680100 is an abundant number, since it is smaller than the sum of its proper divisors (633806589).

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

255680100 is a wasteful number, since it uses less digits than its factorization.

255680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

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

The cubic root of 255680100 is about 634.6958263786.

The spelling of 255680100 in words is "two hundred fifty-five million, six hundred eighty thousand, one hundred".