10152320 has 64 divisors (see below), whose sum is σ = 25153200. Its totient is φ = 3913728.

The previous prime is 10152313. The next prime is 10152347. The reversal of 10152320 is 2325101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10152295 and 10152304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18287 + ... + 18833.

Almost surely, 2^10152320 is an apocalyptic number.

10152320 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 10152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12576600).

10152320 is an abundant number, since it is smaller than the sum of its proper divisors (15000880).

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

10152320 is an equidigital number, since it uses as much as digits as its factorization.

10152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10152320 is about 3186.2705472072. The cubic root of 10152320 is about 216.5318398521.

Adding to 10152320 its reverse (2325101), we get a palindrome (12477421).

The spelling of 10152320 in words is "ten million, one hundred fifty-two thousand, three hundred twenty".