102878617 has 2 divisors, whose sum is σ = 102878618. Its totient is φ = 102878616.

The previous prime is 102878593. The next prime is 102878621. The reversal of 102878617 is 716878201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71842576 + 31036041 = 8476^2 + 5571^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102878617 is a prime.

It is a super-3 number, since 3×102878617³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102878617.

It is not a weakly prime, because it can be changed into another prime (102878647) 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 as a sum of consecutive naturals, namely, 51439308 + 51439309.

It is an arithmetic number, because the mean of its divisors is an integer number (51439309).

Almost surely, 2^102878617 is an apocalyptic number.

It is an amenable number.

102878617 is a deficient number, since it is larger than the sum of its proper divisors (1).

102878617 is an equidigital number, since it uses as much as digits as its factorization.

102878617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37632, while the sum is 40.

The square root of 102878617 is about 10142.9096910108. The cubic root of 102878617 is about 468.5706036597.

The spelling of 102878617 in words is "one hundred two million, eight hundred seventy-eight thousand, six hundred seventeen".