105738757 has 2 divisors, whose sum is σ = 105738758. Its totient is φ = 105738756.

The previous prime is 105738707. The next prime is 105738761. The reversal of 105738757 is 757837501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87497316 + 18241441 = 9354^2 + 4271^2 .

It is a cyclic number.

It is not a de Polignac number, because 105738757 - 2¹⁹ = 105214469 is a prime.

It is a super-2 number, since 2×105738757² = 22361369463810098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105738707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52869378 + 52869379.

It is an arithmetic number, because the mean of its divisors is an integer number (52869379).

Almost surely, 2^105738757 is an apocalyptic number.

It is an amenable number.

105738757 is a deficient number, since it is larger than the sum of its proper divisors (1).

105738757 is an equidigital number, since it uses as much as digits as its factorization.

105738757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 205800, while the sum is 43.

The square root of 105738757 is about 10282.9352327047. The cubic root of 105738757 is about 472.8732353275.

The spelling of 105738757 in words is "one hundred five million, seven hundred thirty-eight thousand, seven hundred fifty-seven".