102580517 has 8 divisors (see below), whose sum is σ = 110627160. Its totient is φ = 94556160.

The previous prime is 102580477. The next prime is 102580553. The reversal of 102580517 is 715085201.

It can be written as a sum of positive squares in 4 ways, for example, as 18931201 + 83649316 = 4351^2 + 9146^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102580517 - 2¹⁰ = 102579493 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 102580517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102580117) 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 7 ways as a sum of consecutive naturals, for example, 4709 + ... + 15077.

It is an arithmetic number, because the mean of its divisors is an integer number (13828395).

Almost surely, 2^102580517 is an apocalyptic number.

It is an amenable number.

102580517 is a deficient number, since it is larger than the sum of its proper divisors (8046643).

102580517 is a wasteful number, since it uses less digits than its factorization.

102580517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11143.

The product of its (nonzero) digits is 2800, while the sum is 29.

The square root of 102580517 is about 10128.2040362544. The cubic root of 102580517 is about 468.1175907426.

The spelling of 102580517 in words is "one hundred two million, five hundred eighty thousand, five hundred seventeen".