10256200 has 48 divisors (see below), whose sum is σ = 25110000. Its totient is φ = 3885120.

The previous prime is 10256179. The next prime is 10256201. The reversal of 10256200 is 265201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10256201) 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 11 ways as a sum of consecutive naturals, for example, 2451 + ... + 5149.

It is an arithmetic number, because the mean of its divisors is an integer number (523125).

Almost surely, 2^10256200 is an apocalyptic number.

10256200 is a gapful number since it is divisible by the number (10) 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 10256200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12555000).

10256200 is an abundant number, since it is smaller than the sum of its proper divisors (14853800).

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

10256200 is a wasteful number, since it uses less digits than its factorization.

10256200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10256200 is about 3202.5302496620. The cubic root of 10256200 is about 217.2678634853.

Subtracting from 10256200 its reverse (265201), we obtain a palindrome (9990999).

It can be divided in two parts, 1025 and 6200, that added together give a square (7225 = 85²).

The spelling of 10256200 in words is "ten million, two hundred fifty-six thousand, two hundred".