10345343250 has 256 divisors, whose sum is σ = 30622924800. Its totient is φ = 2298240000.

The previous prime is 10345343249. The next prime is 10345343299. The reversal of 10345343250 is 5234354301.

It is a super-2 number, since 2×10345343250² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4858186 + ... + 4860314.

It is an arithmetic number, because the mean of its divisors is an integer number (119620800).

Almost surely, 2^10345343250 is an apocalyptic number.

10345343250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10345343250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311462400).

10345343250 is an abundant number, since it is smaller than the sum of its proper divisors (20277581550).

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

10345343250 is a wasteful number, since it uses less digits than its factorization.

10345343250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 10345343250 its reverse (5234354301), we get a palindrome (15579697551).

The spelling of 10345343250 in words is "ten billion, three hundred forty-five million, three hundred forty-three thousand, two hundred fifty".