102011517 has 12 divisors (see below), whose sum is σ = 147448444. Its totient is φ = 67962240.

The previous prime is 102011491. The next prime is 102011521. The reversal of 102011517 is 715110201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40373316 + 61638201 = 6354^2 + 7851^2 .

It is not a de Polignac number, because 102011517 - 2¹² = 102007421 is a prime.

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 102011517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011527) 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 11 ways as a sum of consecutive naturals, for example, 15717 + ... + 21237.

Almost surely, 2^102011517 is an apocalyptic number.

It is an amenable number.

102011517 is a deficient number, since it is larger than the sum of its proper divisors (45436927).

102011517 is a wasteful number, since it uses less digits than its factorization.

102011517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580 (or 7577 counting only the distinct ones).

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

The square root of 102011517 is about 10100.0750987307. The cubic root of 102011517 is about 467.2504575364.

Adding to 102011517 its reverse (715110201), we get a palindrome (817121718).

The spelling of 102011517 in words is "one hundred two million, eleven thousand, five hundred seventeen".