105384737 has 2 divisors, whose sum is σ = 105384738. Its totient is φ = 105384736.

The previous prime is 105384733. The next prime is 105384791. The reversal of 105384737 is 737483501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104366656 + 1018081 = 10216^2 + 1009^2 .

It is an emirp because it is prime and its reverse (737483501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105384737 - 2² = 105384733 is a prime.

It is a super-2 number, since 2×105384737² = 22211885585118338, 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 105384737.

It is not a weakly prime, because it can be changed into another prime (105384733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52692368 + 52692369.

It is an arithmetic number, because the mean of its divisors is an integer number (52692369).

Almost surely, 2^105384737 is an apocalyptic number.

It is an amenable number.

105384737 is a deficient number, since it is larger than the sum of its proper divisors (1).

105384737 is an equidigital number, since it uses as much as digits as its factorization.

105384737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 105384737 is about 10265.7068436616. The cubic root of 105384737 is about 472.3449088334.

The spelling of 105384737 in words is "one hundred five million, three hundred eighty-four thousand, seven hundred thirty-seven".