10117601 has 12 divisors (see below), whose sum is σ = 11578812. Its totient is φ = 8786688.

The previous prime is 10117579. The next prime is 10117619. The reversal of 10117601 is 10671101.

It can be written as a sum of positive squares in 6 ways, for example, as 30625 + 10086976 = 175^2 + 3176^2 .

It is not a de Polignac number, because 10117601 - 2⁶ = 10117537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10117601.

It is not an unprimeable number, because it can be changed into a prime (10117691) 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 11 ways as a sum of consecutive naturals, for example, 2411 + ... + 5103.

It is an arithmetic number, because the mean of its divisors is an integer number (964901).

Almost surely, 2^10117601 is an apocalyptic number.

It is an amenable number.

10117601 is a deficient number, since it is larger than the sum of its proper divisors (1461211).

10117601 is a wasteful number, since it uses less digits than its factorization.

10117601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 10117601 is about 3180.8176621743. The cubic root of 10117601 is about 216.2847253979.

Adding to 10117601 its reverse (10671101), we get a palindrome (20788702).

The spelling of 10117601 in words is "ten million, one hundred seventeen thousand, six hundred one".