105000757 has 2 divisors, whose sum is σ = 105000758. Its totient is φ = 105000756.

The previous prime is 105000743. The next prime is 105000769. The reversal of 105000757 is 757000501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69072721 + 35928036 = 8311^2 + 5994^2 .

It is a cyclic number.

It is not a de Polignac number, because 105000757 - 2⁷ = 105000629 is a prime.

It is a super-2 number, since 2×105000757² = 22050317941146098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105003757) 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, 52500378 + 52500379.

It is an arithmetic number, because the mean of its divisors is an integer number (52500379).

Almost surely, 2^105000757 is an apocalyptic number.

It is an amenable number.

105000757 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000757 is an equidigital number, since it uses as much as digits as its factorization.

105000757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1225, while the sum is 25.

The square root of 105000757 is about 10246.9877037108. The cubic root of 105000757 is about 471.7705317732.

The spelling of 105000757 in words is "one hundred five million, seven hundred fifty-seven", and thus it is an aban number.