105864937 has 2 divisors, whose sum is σ = 105864938. Its totient is φ = 105864936.

The previous prime is 105864893. The next prime is 105864949. The reversal of 105864937 is 739468501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75272976 + 30591961 = 8676^2 + 5531^2 .

It is a cyclic number.

It is not a de Polignac number, because 105864937 - 2⁷ = 105864809 is a prime.

It is a super-2 number, since 2×105864937² = 22414769772027938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105864893 and 105864902.

It is not a weakly prime, because it can be changed into another prime (105864037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52932468 + 52932469.

It is an arithmetic number, because the mean of its divisors is an integer number (52932469).

Almost surely, 2^105864937 is an apocalyptic number.

It is an amenable number.

105864937 is a deficient number, since it is larger than the sum of its proper divisors (1).

105864937 is an equidigital number, since it uses as much as digits as its factorization.

105864937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 105864937 is about 10289.0688111218. The cubic root of 105864937 is about 473.0612566619.

The spelling of 105864937 in words is "one hundred five million, eight hundred sixty-four thousand, nine hundred thirty-seven".