256320100 has 27 divisors (see below), whose sum is σ = 556562251. Its totient is φ = 102464000.

The previous prime is 256320083. The next prime is 256320107. The reversal of 256320100 is 1023652.

It is a happy number.

The square root of 256320100 is 16010.

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

It can be written as a sum of positive squares in 4 ways, for example, as 80174116 + 176145984 = 8954^2 + 13272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256320107) 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 8 ways as a sum of consecutive naturals, for example, 159300 + ... + 160900.

Almost surely, 2^256320100 is an apocalyptic number.

256320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

256320100 is the 16010-th square number.

It is an amenable number.

256320100 is an abundant number, since it is smaller than the sum of its proper divisors (300242151).

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

256320100 is an equidigital number, since it uses as much as digits as its factorization.

256320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The cubic root of 256320100 is about 635.2249600779.

Adding to 256320100 its reverse (1023652), we get a palindrome (257343752).

It can be divided in two parts, 256 and 320100, that added together give a square (320356 = 566²).

The spelling of 256320100 in words is "two hundred fifty-six million, three hundred twenty thousand, one hundred".