10235200 has 42 divisors (see below), whose sum is σ = 25188926. Its totient is φ = 4093440.

The previous prime is 10235153. The next prime is 10235219. The reversal of 10235200 is 253201.

It can be written as a sum of positive squares in 3 ways, for example, as 97344 + 10137856 = 312^2 + 3184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1599 + ... + 4798.

Almost surely, 2^10235200 is an apocalyptic number.

10235200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10235200 is the 1600-th decagonal number.

It is an amenable number.

10235200 is an abundant number, since it is smaller than the sum of its proper divisors (14953726).

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

10235200 is an equidigital number, since it uses as much as digits as its factorization.

10235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 10235200 is about 3199.2499120888. The cubic root of 10235200 is about 217.1194738044.

Adding to 10235200 its reverse (253201), we get a palindrome (10488401).

The spelling of 10235200 in words is "ten million, two hundred thirty-five thousand, two hundred".