10305344000 has 160 divisors (see below), whose sum is σ = 29369298816. Its totient is φ = 3533107200.

The previous prime is 10305343943. The next prime is 10305344003. The reversal of 10305344000 is 44350301.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10305344000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10305344003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436499 + ... + 459501.

Almost surely, 2^10305344000 is an apocalyptic number.

10305344000 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 10305344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14684649408).

10305344000 is an abundant number, since it is smaller than the sum of its proper divisors (19063954816).

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

10305344000 is an frugal number, since it uses more digits than its factorization.

10305344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23043 (or 23017 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 10305344000 its reverse (44350301), we get a palindrome (10349694301).

The spelling of 10305344000 in words is "ten billion, three hundred five million, three hundred forty-four thousand".