10253200 has 30 divisors (see below), whose sum is σ = 24634274. Its totient is φ = 4101120.

The previous prime is 10253183. The next prime is 10253203. The reversal of 10253200 is 235201.

It can be written as a sum of positive squares in 3 ways, for example, as 318096 + 9935104 = 564^2 + 3152^2 .

It is a super-2 number, since 2×10253200² = 210256220480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10253203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12417 + ... + 13216.

Almost surely, 2^10253200 is an apocalyptic number.

10253200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10253200 is an abundant number, since it is smaller than the sum of its proper divisors (14381074).

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

10253200 is a wasteful number, since it uses less digits than its factorization.

10253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25651 (or 25640 counting only the distinct ones).

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

The square root of 10253200 is about 3202.0618357552. The cubic root of 10253200 is about 217.2466773685.

Adding to 10253200 its reverse (235201), we get a palindrome (10488401).

It can be divided in two parts, 1025 and 3200, that added together give a square (4225 = 65²).

The spelling of 10253200 in words is "ten million, two hundred fifty-three thousand, two hundred".