10073017000 has 64 divisors (see below), whose sum is σ = 23787363600. Its totient is φ = 3992198400.

The previous prime is 10073016973. The next prime is 10073017007. The reversal of 10073017000 is 71037001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 651985156 + 9421031844 = 25534^2 + 97062^2 .

It is not an unprimeable number, because it can be changed into a prime (10073017007) 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, 62794 + ... + 155206.

Almost surely, 2^10073017000 is an apocalyptic number.

10073017000 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 10073017000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11893681800).

10073017000 is an abundant number, since it is smaller than the sum of its proper divisors (13714346600).

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

10073017000 is a wasteful number, since it uses less digits than its factorization.

10073017000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92543 (or 92529 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 19.

The spelling of 10073017000 in words is "ten billion, seventy-three million, seventeen thousand".