10343510320 has 320 divisors, whose sum is σ = 31048012800. Its totient is φ = 3144683520.

The previous prime is 10343510291. The next prime is 10343510329. The reversal of 10343510320 is 2301534301.

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

It is a junction number, because it is equal to n+sod(n) for n = 10343510291 and 10343510300.

It is not an unprimeable number, because it can be changed into a prime (10343510329) 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 63 ways as a sum of consecutive naturals, for example, 4998246 + ... + 5000314.

It is an arithmetic number, because the mean of its divisors is an integer number (97025040).

Almost surely, 2^10343510320 is an apocalyptic number.

10343510320 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 10343510320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524006400).

10343510320 is an abundant number, since it is smaller than the sum of its proper divisors (20704502480).

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

10343510320 is a wasteful number, since it uses less digits than its factorization.

10343510320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The spelling of 10343510320 in words is "ten billion, three hundred forty-three million, five hundred ten thousand, three hundred twenty".