10319000 has 64 divisors (see below), whose sum is σ = 25608960. Its totient is φ = 3878400.

The previous prime is 10318993. The next prime is 10319009. The reversal of 10319000 is 91301.

10319000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10319000² = 212963522000000, which contains 22 as substring.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10319009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16697 + ... + 17303.

It is an arithmetic number, because the mean of its divisors is an integer number (400140).

Almost surely, 2^10319000 is an apocalyptic number.

10319000 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 10319000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12804480).

10319000 is an abundant number, since it is smaller than the sum of its proper divisors (15289960).

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

10319000 is a wasteful number, since it uses less digits than its factorization.

10319000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 10319000 is about 3212.3200338696. The cubic root of 10319000 is about 217.7104142462.

The spelling of 10319000 in words is "ten million, three hundred nineteen thousand".