10345020000 has 240 divisors, whose sum is σ = 38782985472. Its totient is φ = 2364480000.

The previous prime is 10345019989. The next prime is 10345020061. The reversal of 10345020000 is 2054301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 407685 + ... + 432315.

Almost surely, 2^10345020000 is an apocalyptic number.

10345020000 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 10345020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19391492736).

10345020000 is an abundant number, since it is smaller than the sum of its proper divisors (28437965472).

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

10345020000 is an equidigital number, since it uses as much as digits as its factorization.

10345020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24671 (or 24648 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 10345020000 its reverse (2054301), we get a palindrome (10347074301).

The spelling of 10345020000 in words is "ten billion, three hundred forty-five million, twenty thousand".