105675751 has 2 divisors, whose sum is σ = 105675752. Its totient is φ = 105675750.

The previous prime is 105675721. The next prime is 105675781. The reversal of 105675751 is 157576501.

It is a balanced prime because it is at equal distance from previous prime (105675721) and next prime (105675781).

It is a cyclic number.

It is not a de Polignac number, because 105675751 - 2⁹ = 105675239 is a prime.

It is a super-2 number, since 2×105675751² = 22334728698828002, 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 105675751.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105675721) 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, 52837875 + 52837876.

It is an arithmetic number, because the mean of its divisors is an integer number (52837876).

Almost surely, 2^105675751 is an apocalyptic number.

105675751 is a deficient number, since it is larger than the sum of its proper divisors (1).

105675751 is an equidigital number, since it uses as much as digits as its factorization.

105675751 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36750, while the sum is 37.

The square root of 105675751 is about 10279.8711567801. The cubic root of 105675751 is about 472.7792938325.

The spelling of 105675751 in words is "one hundred five million, six hundred seventy-five thousand, seven hundred fifty-one".