105757193 has 2 divisors, whose sum is σ = 105757194. Its totient is φ = 105757192.

The previous prime is 105757181. The next prime is 105757231. The reversal of 105757193 is 391757501.

It is an a-pointer prime, because the next prime (105757231) can be obtained adding 105757193 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102961609 + 2795584 = 10147^2 + 1672^2 .

It is a cyclic number.

It is not a de Polignac number, because 105757193 - 2⁶ = 105757129 is a prime.

It is a super-2 number, since 2×105757193² = 22369167742478498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105757123) 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, 52878596 + 52878597.

It is an arithmetic number, because the mean of its divisors is an integer number (52878597).

Almost surely, 2^105757193 is an apocalyptic number.

It is an amenable number.

105757193 is a deficient number, since it is larger than the sum of its proper divisors (1).

105757193 is an equidigital number, since it uses as much as digits as its factorization.

105757193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33075, while the sum is 38.

The square root of 105757193 is about 10283.8316302826. The cubic root of 105757193 is about 472.9007162140.

The spelling of 105757193 in words is "one hundred five million, seven hundred fifty-seven thousand, one hundred ninety-three".