105747121 has 2 divisors, whose sum is σ = 105747122. Its totient is φ = 105747120.

The previous prime is 105747097. The next prime is 105747127. The reversal of 105747121 is 121747501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102819600 + 2927521 = 10140^2 + 1711^2 .

It is a cyclic number.

It is not a de Polignac number, because 105747121 - 2¹⁵ = 105714353 is a prime.

It is a super-2 number, since 2×105747121² = 22364907199577282, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105747121.

It is not a weakly prime, because it can be changed into another prime (105747127) 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, 52873560 + 52873561.

It is an arithmetic number, because the mean of its divisors is an integer number (52873561).

Almost surely, 2^105747121 is an apocalyptic number.

It is an amenable number.

105747121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105747121 is an equidigital number, since it uses as much as digits as its factorization.

105747121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 105747121 is about 10283.3419178786. The cubic root of 105747121 is about 472.8857031856.

The spelling of 105747121 in words is "one hundred five million, seven hundred forty-seven thousand, one hundred twenty-one".