102800417 has 2 divisors, whose sum is σ = 102800418. Its totient is φ = 102800416.

The previous prime is 102800381. The next prime is 102800437. The reversal of 102800417 is 714008201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101525776 + 1274641 = 10076^2 + 1129^2 .

It is a cyclic number.

It is not a de Polignac number, because 102800417 - 2¹⁰ = 102799393 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102800392 and 102800401.

It is not a weakly prime, because it can be changed into another prime (102800437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51400208 + 51400209.

It is an arithmetic number, because the mean of its divisors is an integer number (51400209).

Almost surely, 2^102800417 is an apocalyptic number.

It is an amenable number.

102800417 is a deficient number, since it is larger than the sum of its proper divisors (1).

102800417 is an equidigital number, since it uses as much as digits as its factorization.

102800417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 102800417 is about 10139.0540485787. The cubic root of 102800417 is about 468.4518504133.

Adding to 102800417 its reverse (714008201), we get a palindrome (816808618).

The spelling of 102800417 in words is "one hundred two million, eight hundred thousand, four hundred seventeen".