10299200 has 84 divisors (see below), whose sum is σ = 26125932. Its totient is φ = 3993600.

The previous prime is 10299199. The next prime is 10299259. The reversal of 10299200 is 299201.

It can be written as a sum of positive squares in 6 ways, for example, as 2637376 + 7661824 = 1624^2 + 2768^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65522 + ... + 65678.

It is an arithmetic number, because the mean of its divisors is an integer number (311023).

Almost surely, 2^10299200 is an apocalyptic number.

10299200 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 10299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13062966).

10299200 is an abundant number, since it is smaller than the sum of its proper divisors (15826732).

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

10299200 is a wasteful number, since it uses less digits than its factorization.

10299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 10299200 is about 3209.2366693655. The cubic root of 10299200 is about 217.5710781918.

Subtracting from 10299200 its reverse (299201), we obtain a palindrome (9999999).

The spelling of 10299200 in words is "ten million, two hundred ninety-nine thousand, two hundred".