102560256 has 100 divisors (see below), whose sum is σ = 306239142. Its totient is φ = 34172928.

The previous prime is 102560209. The next prime is 102560261. The reversal of 102560256 is 652065201.

102560256 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 602 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77158656 + 25401600 = 8784^2 + 5040^2 .

It is a super-2 number, since 2×102560256² = 21037212221571072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40236 + ... + 42708.

Almost surely, 2^102560256 is an apocalyptic number.

102560256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102560256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153119571).

102560256 is an abundant number, since it is smaller than the sum of its proper divisors (203678886).

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

102560256 is an frugal number, since it uses more digits than its factorization.

102560256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 102560256 is about 10127.2037601699. The cubic root of 102560256 is about 468.0867689216.

The spelling of 102560256 in words is "one hundred two million, five hundred sixty thousand, two hundred fifty-six".