10345200 has 120 divisors (see below), whose sum is σ = 34180848. Its totient is φ = 2672640.

The previous prime is 10345189. The next prime is 10345207. The reversal of 10345200 is 254301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10345200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44284 + ... + 44516.

Almost surely, 2^10345200 is an apocalyptic number.

10345200 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 10345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17090424).

10345200 is an abundant number, since it is smaller than the sum of its proper divisors (23835648).

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

10345200 is a wasteful number, since it uses less digits than its factorization.

10345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10345200 is about 3216.3954980692. The cubic root of 10345200 is about 217.8945145189.

Adding to 10345200 its reverse (254301), we get a palindrome (10599501).

The spelling of 10345200 in words is "ten million, three hundred forty-five thousand, two hundred".