10031745000 has 160 divisors (see below), whose sum is σ = 31419067680. Its totient is φ = 2668320000.

The previous prime is 10031744977. The next prime is 10031745007. The reversal of 10031745000 is 54713001.

10031745000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10031745007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9194455 + ... + 9195545.

It is an arithmetic number, because the mean of its divisors is an integer number (196369173).

Almost surely, 2^10031745000 is an apocalyptic number.

10031745000 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 10031745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15709533840).

10031745000 is an abundant number, since it is smaller than the sum of its proper divisors (21387322680).

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

10031745000 is a wasteful number, since it uses less digits than its factorization.

10031745000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The spelling of 10031745000 in words is "ten billion, thirty-one million, seven hundred forty-five thousand".