10010320 has 40 divisors (see below), whose sum is σ = 23451624. Its totient is φ = 3973632.

The previous prime is 10010317. The next prime is 10010323. The reversal of 10010320 is 2301001.

10010320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10010317) and next prime (10010323).

It can be written as a sum of positive squares in 4 ways, for example, as 425104 + 9585216 = 652^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12162 + ... + 12958.

Almost surely, 2^10010320 is an apocalyptic number.

10010320 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 10010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11725812).

10010320 is an abundant number, since it is smaller than the sum of its proper divisors (13441304).

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

10010320 is a wasteful number, since it uses less digits than its factorization.

10010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 10010320 is about 3163.9089746704. The cubic root of 10010320 is about 215.5175560764.

Adding to 10010320 its reverse (2301001), we get a palindrome (12311321).

The spelling of 10010320 in words is "ten million, ten thousand, three hundred twenty".