10525200 has 180 divisors, whose sum is σ = 39439440. Its totient is φ = 2392320.

The previous prime is 10525199. The next prime is 10525241. The reversal of 10525200 is 252501.

It is a super-2 number, since 2×10525200² = 221559670080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10525200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58711 + ... + 58889.

It is an arithmetic number, because the mean of its divisors is an integer number (219108).

Almost surely, 2^10525200 is an apocalyptic number.

10525200 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 10525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19719720).

10525200 is an abundant number, since it is smaller than the sum of its proper divisors (28914240).

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

10525200 is a wasteful number, since it uses less digits than its factorization.

10525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 10525200 is about 3244.2564633518. The cubic root of 10525200 is about 219.1509978019.

Adding to 10525200 its reverse (252501), we get a palindrome (10777701).

The spelling of 10525200 in words is "ten million, five hundred twenty-five thousand, two hundred".