10152117 has 24 divisors (see below), whose sum is σ = 15364440. Its totient is φ = 6451200.

The previous prime is 10152089. The next prime is 10152139. The reversal of 10152117 is 71125101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4435236 + 5716881 = 2106^2 + 2391^2 .

It is not a de Polignac number, because 10152117 - 2⁸ = 10151861 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10152117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25117 + ... + 25517.

It is an arithmetic number, because the mean of its divisors is an integer number (640185).

Almost surely, 2^10152117 is an apocalyptic number.

It is an amenable number.

10152117 is a deficient number, since it is larger than the sum of its proper divisors (5212323).

10152117 is a wasteful number, since it uses less digits than its factorization.

10152117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 10152117 is about 3186.2386916237. The cubic root of 10152117 is about 216.5303966267.

Adding to 10152117 its reverse (71125101), we get a palindrome (81277218).

The spelling of 10152117 in words is "ten million, one hundred fifty-two thousand, one hundred seventeen".