256105120 has 48 divisors (see below), whose sum is σ = 621415368. Its totient is φ = 99671040.

The previous prime is 256105099. The next prime is 256105139. The reversal of 256105120 is 21501652.

256105120 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 4 ways, for example, as 244734736 + 11370384 = 15644^2 + 3372^2 .

It is a junction number, because it is equal to n+sod(n) for n = 256105091 and 256105100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15711 + ... + 27550.

Almost surely, 2^256105120 is an apocalyptic number.

256105120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256105120 is an abundant number, since it is smaller than the sum of its proper divisors (365310248).

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

256105120 is a wasteful number, since it uses less digits than its factorization.

256105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43313 (or 43305 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 256105120 is about 16003.2846628434. The cubic root of 256105120 is about 635.0473191018.

Adding to 256105120 its reverse (21501652), we get a palindrome (277606772).

The spelling of 256105120 in words is "two hundred fifty-six million, one hundred five thousand, one hundred twenty".