105989749 has 2 divisors, whose sum is σ = 105989750. Its totient is φ = 105989748.

The previous prime is 105989687. The next prime is 105989753. The reversal of 105989749 is 947989501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104346225 + 1643524 = 10215^2 + 1282^2 .

It is a cyclic number.

It is not a de Polignac number, because 105989749 - 2⁷ = 105989621 is a prime.

It is a super-2 number, since 2×105989749² = 22467653786166002, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105989696 and 105989705.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105989249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52994874 + 52994875.

It is an arithmetic number, because the mean of its divisors is an integer number (52994875).

Almost surely, 2^105989749 is an apocalyptic number.

It is an amenable number.

105989749 is a deficient number, since it is larger than the sum of its proper divisors (1).

105989749 is an equidigital number, since it uses as much as digits as its factorization.

105989749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816480, while the sum is 52.

The square root of 105989749 is about 10295.1322963816. The cubic root of 105989749 is about 473.2470926109.

The spelling of 105989749 in words is "one hundred five million, nine hundred eighty-nine thousand, seven hundred forty-nine".