10305152 has 64 divisors (see below), whose sum is σ = 24161760. Its totient is φ = 4316160.

The previous prime is 10305151. The next prime is 10305167. The reversal of 10305152 is 25150301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10305152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18023 + ... + 18585.

Almost surely, 2^10305152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12080880).

10305152 is an abundant number, since it is smaller than the sum of its proper divisors (13856608).

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

10305152 is a wasteful number, since it uses less digits than its factorization.

10305152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 10305152 is about 3210.1638587462. The cubic root of 10305152 is about 217.6129822128.

Adding to 10305152 its reverse (25150301), we get a palindrome (35455453).

The spelling of 10305152 in words is "ten million, three hundred five thousand, one hundred fifty-two".