10203200 has 84 divisors (see below), whose sum is σ = 28724352. Its totient is φ = 3494400.

The previous prime is 10203187. The next prime is 10203203. The reversal of 10203200 is 230201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10203203) 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, 10745 + ... + 11655.

Almost surely, 2^10203200 is an apocalyptic number.

10203200 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 10203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362176).

10203200 is an abundant number, since it is smaller than the sum of its proper divisors (18521152).

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

10203200 is an equidigital number, since it uses as much as digits as its factorization.

10203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 10203200 is about 3194.2448246808. The cubic root of 10203200 is about 216.8929653996.

Adding to 10203200 its reverse (230201), we get a palindrome (10433401).

The spelling of 10203200 in words is "ten million, two hundred three thousand, two hundred".