102360256 has 56 divisors (see below), whose sum is σ = 212232240. Its totient is φ = 48921600.

The previous prime is 102360217. The next prime is 102360263. The reversal of 102360256 is 652063201.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 102360256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242926 + ... + 243346.

Almost surely, 2^102360256 is an apocalyptic number.

102360256 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 102360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106116120).

102360256 is an abundant number, since it is smaller than the sum of its proper divisors (109871984).

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

102360256 is a wasteful number, since it uses less digits than its factorization.

102360256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 102360256 is about 10117.3245475274. The cubic root of 102360256 is about 467.7823031145.

The spelling of 102360256 in words is "one hundred two million, three hundred sixty thousand, two hundred fifty-six".