10245600 has 108 divisors (see below), whose sum is σ = 36153936. Its totient is φ = 2730240.

The previous prime is 10245563. The next prime is 10245601. The reversal of 10245600 is 654201.

It is a happy number.

10245600 is a `hidden beast` number, since 102 + 4 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10245601) 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 17 ways as a sum of consecutive naturals, for example, 6489 + ... + 7911.

Almost surely, 2^10245600 is an apocalyptic number.

10245600 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 10245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18076968).

10245600 is an abundant number, since it is smaller than the sum of its proper divisors (25908336).

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

10245600 is a wasteful number, since it uses less digits than its factorization.

10245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10245600 is about 3200.8748804038. The cubic root of 10245600 is about 217.1929873706.

Adding to 10245600 its reverse (654201), we get a palindrome (10899801).

The spelling of 10245600 in words is "ten million, two hundred forty-five thousand, six hundred".