100768361 has 2 divisors, whose sum is σ = 100768362. Its totient is φ = 100768360.

The previous prime is 100768351. The next prime is 100768363. The reversal of 100768361 is 163867001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56625625 + 44142736 = 7525^2 + 6644^2 .

It is a cyclic number.

It is not a de Polignac number, because 100768361 - 2¹⁴ = 100751977 is a prime.

Together with 100768363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100768363) 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 as a sum of consecutive naturals, namely, 50384180 + 50384181.

It is an arithmetic number, because the mean of its divisors is an integer number (50384181).

Almost surely, 2^100768361 is an apocalyptic number.

It is an amenable number.

100768361 is a deficient number, since it is larger than the sum of its proper divisors (1).

100768361 is an equidigital number, since it uses as much as digits as its factorization.

100768361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 100768361 is about 10038.3445348324. The cubic root of 100768361 is about 465.3446567994.

The spelling of 100768361 in words is "one hundred million, seven hundred sixty-eight thousand, three hundred sixty-one".