10008152 has 72 divisors (see below), whose sum is σ = 24107580. Its totient is φ = 3880800.

The previous prime is 10008137. The next prime is 10008179. The reversal of 10008152 is 25180001.

It is a self number, because there is not a number n which added to its sum of digits gives 10008152.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 47327 + ... + 47537.

Almost surely, 2^10008152 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 10008152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12053790).

10008152 is an abundant number, since it is smaller than the sum of its proper divisors (14099428).

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

10008152 is a wasteful number, since it uses less digits than its factorization.

10008152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 10008152 is about 3163.5663419628. The cubic root of 10008152 is about 215.5019962742.

Adding to 10008152 its reverse (25180001), we get a palindrome (35188153).

The spelling of 10008152 in words is "ten million, eight thousand, one hundred fifty-two".