10009152 has 42 divisors (see below), whose sum is σ = 28691078. Its totient is φ = 3336192.

The previous prime is 10009151. The next prime is 10009159. The reversal of 10009152 is 25190001.

It can be written as a sum of positive squares in only one way, i.e., 6230016 + 3779136 = 2496^2 + 1944^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10009151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8113 + ... + 9264.

Almost surely, 2^10009152 is an apocalyptic number.

10009152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10009152 is an abundant number, since it is smaller than the sum of its proper divisors (18681926).

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

10009152 is a wasteful number, since it uses less digits than its factorization.

10009152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17395 (or 17382 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10009152 is about 3163.7243874902. The cubic root of 10009152 is about 215.5091735839.

Adding to 10009152 its reverse (25190001), we get a palindrome (35199153).

The spelling of 10009152 in words is "ten million, nine thousand, one hundred fifty-two".