10488200 has 36 divisors (see below), whose sum is σ = 24492015. Its totient is φ = 4176960.

The previous prime is 10488193. The next prime is 10488217. The reversal of 10488200 is 288401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 8844676 + 1643524 = 2974^2 + 1282^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2290.

It is a super-2 number, since 2×10488200² = 220004678480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45686 + ... + 45914.

Almost surely, 2^10488200 is an apocalyptic number.

10488200 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 10488200

10488200 is an abundant number, since it is smaller than the sum of its proper divisors (14003815).

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

10488200 is an equidigital number, since it uses as much as digits as its factorization.

10488200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 10488200 is about 3238.5490578344. The cubic root of 10488200 is about 218.8938971582.

Multiplying 10488200 by its product of nonzero digits (512), we get a square (5369958400 = 73280²).

The spelling of 10488200 in words is "ten million, four hundred eighty-eight thousand, two hundred".