102132617 has 16 divisors (see below), whose sum is σ = 111615120. Its totient is φ = 93063168.

The previous prime is 102132607. The next prime is 102132647. The reversal of 102132617 is 716231201.

It can be written as a sum of positive squares in 8 ways, for example, as 42981136 + 59151481 = 6556^2 + 7691^2 .

It is not a de Polignac number, because 102132617 - 2⁴ = 102132601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102132592 and 102132601.

It is not an unprimeable number, because it can be changed into a prime (102132607) 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 15 ways as a sum of consecutive naturals, for example, 249509 + ... + 249917.

It is an arithmetic number, because the mean of its divisors is an integer number (6975945).

Almost surely, 2^102132617 is an apocalyptic number.

102132617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

102132617 is a deficient number, since it is larger than the sum of its proper divisors (9482503).

102132617 is a wasteful number, since it uses less digits than its factorization.

102132617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 102132617 is about 10106.0683255161. The cubic root of 102132617 is about 467.4352786760.

Adding to 102132617 its reverse (716231201), we get a palindrome (818363818).

The spelling of 102132617 in words is "one hundred two million, one hundred thirty-two thousand, six hundred seventeen".