105157709 has 2 divisors, whose sum is σ = 105157710. Its totient is φ = 105157708.

The previous prime is 105157681. The next prime is 105157739. The reversal of 105157709 is 907751501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89775625 + 15382084 = 9475^2 + 3922^2 .

It is an emirp because it is prime and its reverse (907751501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105157709 - 2²⁴ = 88380493 is a prime.

It is a super-2 number, since 2×105157709² = 22116287524257362, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105157739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52578854 + 52578855.

It is an arithmetic number, because the mean of its divisors is an integer number (52578855).

Almost surely, 2^105157709 is an apocalyptic number.

It is an amenable number.

105157709 is a deficient number, since it is larger than the sum of its proper divisors (1).

105157709 is an equidigital number, since it uses as much as digits as its factorization.

105157709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11025, while the sum is 35.

The square root of 105157709 is about 10254.6432897493. The cubic root of 105157709 is about 472.0054775889.

The spelling of 105157709 in words is "one hundred five million, one hundred fifty-seven thousand, seven hundred nine".