10345600 has 96 divisors (see below), whose sum is σ = 26465940. Its totient is φ = 3993600.

The previous prime is 10345597. The next prime is 10345609. The reversal of 10345600 is 654301.

It can be written as a sum of positive squares in 6 ways, for example, as 2005056 + 8340544 = 1416^2 + 2888^2 .

It is not an unprimeable number, because it can be changed into a prime (10345609) 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 11 ways as a sum of consecutive naturals, for example, 169570 + ... + 169630.

Almost surely, 2^10345600 is an apocalyptic number.

10345600 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 10345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13232970).

10345600 is an abundant number, since it is smaller than the sum of its proper divisors (16120340).

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

10345600 is an equidigital number, since it uses as much as digits as its factorization.

10345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 10345600 is about 3216.4576788759. The cubic root of 10345600 is about 217.8973227998.

Adding to 10345600 its reverse (654301), we get a palindrome (10999901).

The spelling of 10345600 in words is "ten million, three hundred forty-five thousand, six hundred".