10507320 has 192 divisors, whose sum is σ = 37739520. Its totient is φ = 2623104.

The previous prime is 10507319. The next prime is 10507327. The reversal of 10507320 is 2370501.

It is a super-3 number, since 3×10507320³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10507293 and 10507302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10507327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223537 + ... + 223583.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^10507320 is an apocalyptic number.

10507320 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 10507320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

10507320 is an abundant number, since it is smaller than the sum of its proper divisors (27232200).

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

10507320 is a wasteful number, since it uses less digits than its factorization.

10507320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10507320 is about 3241.4996529384. The cubic root of 10507320 is about 219.0268310155.

10507320 divided by its sum of digits (18) gives a triangular number (583740 = T₁₀₈₀).

Adding to 10507320 its reverse (2370501), we get a palindrome (12877821).

The spelling of 10507320 in words is "ten million, five hundred seven thousand, three hundred twenty".