10065343200 has 288 divisors, whose sum is σ = 36976383360. Its totient is φ = 2355763200.

The previous prime is 10065343193. The next prime is 10065343297. The reversal of 10065343200 is 234356001.

It is a happy number.

It is a super-2 number, since 2×10065343200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759027 + ... + 772173.

It is an arithmetic number, because the mean of its divisors is an integer number (128390220).

Almost surely, 2^10065343200 is an apocalyptic number.

10065343200 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 10065343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18488191680).

10065343200 is an abundant number, since it is smaller than the sum of its proper divisors (26911040160).

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

10065343200 is a wasteful number, since it uses less digits than its factorization.

10065343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13210 (or 13197 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 10065343200 its reverse (234356001), we get a palindrome (10299699201).

The spelling of 10065343200 in words is "ten billion, sixty-five million, three hundred forty-three thousand, two hundred".