10120320 has 192 divisors, whose sum is σ = 40098240. Its totient is φ = 2304000.

The previous prime is 10120309. The next prime is 10120339. The reversal of 10120320 is 2302101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40195 + ... + 40445.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 2^10120320 is an apocalyptic number.

10120320 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 10120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

10120320 is an abundant number, since it is smaller than the sum of its proper divisors (29977920).

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

10120320 is a wasteful number, since it uses less digits than its factorization.

10120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10120320 is about 3181.2450392889. The cubic root of 10120320 is about 216.3040984191.

Adding to 10120320 its reverse (2302101), we get a palindrome (12422421).

It can be divided in two parts, 10120 and 320, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 10120320 in words is "ten million, one hundred twenty thousand, three hundred twenty".