105009757 has 2 divisors, whose sum is σ = 105009758. Its totient is φ = 105009756.

The previous prime is 105009727. The next prime is 105009769. The reversal of 105009757 is 757900501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104980516 + 29241 = 10246^2 + 171^2 .

It is an emirp because it is prime and its reverse (757900501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105009757 - 2¹¹ = 105007709 is a prime.

It is a super-2 number, since 2×105009757² = 22054098130398098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105009727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52504878 + 52504879.

It is an arithmetic number, because the mean of its divisors is an integer number (52504879).

Almost surely, 2^105009757 is an apocalyptic number.

It is an amenable number.

105009757 is a deficient number, since it is larger than the sum of its proper divisors (1).

105009757 is an equidigital number, since it uses as much as digits as its factorization.

105009757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11025, while the sum is 34.

The square root of 105009757 is about 10247.4268477506. The cubic root of 105009757 is about 471.7840104489.

The spelling of 105009757 in words is "one hundred five million, nine thousand, seven hundred fifty-seven".