10345403200 has 126 divisors (see below), whose sum is σ = 27981258998. Its totient is φ = 3761894400.

The previous prime is 10345403149. The next prime is 10345403207. The reversal of 10345403200 is 230454301.

It can be written as a sum of positive squares in 3 ways, for example, as 1009205824 + 9336197376 = 31768^2 + 96624^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345403207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 166882 + ... + 220318.

Almost surely, 2^10345403200 is an apocalyptic number.

10345403200 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 10345403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990629499).

10345403200 is an abundant number, since it is smaller than the sum of its proper divisors (17635855798).

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

10345403200 is a wasteful number, since it uses less digits than its factorization.

10345403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53481 (or 53455 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 10345403200 its reverse (230454301), we get a palindrome (10575857501).

The spelling of 10345403200 in words is "ten billion, three hundred forty-five million, four hundred three thousand, two hundred".