108920993 has 2 divisors, whose sum is σ = 108920994. Its totient is φ = 108920992.

The previous prime is 108920957. The next prime is 108921017. The reversal of 108920993 is 399029801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106646929 + 2274064 = 10327^2 + 1508^2 .

It is an emirp because it is prime and its reverse (399029801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 108920993 - 2¹² = 108916897 is a prime.

It is a super-2 number, since 2×108920993² = 23727565432212098, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 108920993.

It is not a weakly prime, because it can be changed into another prime (108920953) 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, 54460496 + 54460497.

It is an arithmetic number, because the mean of its divisors is an integer number (54460497).

Almost surely, 2^108920993 is an apocalyptic number.

It is an amenable number.

108920993 is a deficient number, since it is larger than the sum of its proper divisors (1).

108920993 is an equidigital number, since it uses as much as digits as its factorization.

108920993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 41.

The square root of 108920993 is about 10436.5220739478. The cubic root of 108920993 is about 477.5701758104.

The spelling of 108920993 in words is "one hundred eight million, nine hundred twenty thousand, nine hundred ninety-three".