102838817 has 2 divisors, whose sum is σ = 102838818. Its totient is φ = 102838816.

The previous prime is 102838777. The next prime is 102838837. The reversal of 102838817 is 718838201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87030241 + 15808576 = 9329^2 + 3976^2 .

It is an emirp because it is prime and its reverse (718838201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102838817 - 2⁶ = 102838753 is a prime.

It is not a weakly prime, because it can be changed into another prime (102838837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51419408 + 51419409.

It is an arithmetic number, because the mean of its divisors is an integer number (51419409).

Almost surely, 2^102838817 is an apocalyptic number.

It is an amenable number.

102838817 is a deficient number, since it is larger than the sum of its proper divisors (1).

102838817 is an equidigital number, since it uses as much as digits as its factorization.

102838817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 102838817 is about 10140.9475395547. The cubic root of 102838817 is about 468.5101715506.

The spelling of 102838817 in words is "one hundred two million, eight hundred thirty-eight thousand, eight hundred seventeen".