10025200 has 60 divisors (see below), whose sum is σ = 24493968. Its totient is φ = 3942400.

The previous prime is 10025173. The next prime is 10025201. The reversal of 10025200 is 252001.

10025200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10025201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28224 + ... + 28576.

Almost surely, 2^10025200 is an apocalyptic number.

10025200 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 10025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12246984).

10025200 is an abundant number, since it is smaller than the sum of its proper divisors (14468768).

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

10025200 is a wasteful number, since it uses less digits than its factorization.

10025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 10025200 is about 3166.2596229621. The cubic root of 10025200 is about 215.6242897127.

Adding to 10025200 its reverse (252001), we get a palindrome (10277201).

The spelling of 10025200 in words is "ten million, twenty-five thousand, two hundred".