105709873 has 2 divisors, whose sum is σ = 105709874. Its totient is φ = 105709872.

The previous prime is 105709861. The next prime is 105709897. The reversal of 105709873 is 378907501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79423744 + 26286129 = 8912^2 + 5127^2 .

It is a cyclic number.

It is not a de Polignac number, because 105709873 - 2¹³ = 105701681 is a prime.

It is a super-2 number, since 2×105709873² = 22349154499352258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105709573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52854936 + 52854937.

It is an arithmetic number, because the mean of its divisors is an integer number (52854937).

Almost surely, 2^105709873 is an apocalyptic number.

It is an amenable number.

105709873 is a deficient number, since it is larger than the sum of its proper divisors (1).

105709873 is an equidigital number, since it uses as much as digits as its factorization.

105709873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 105709873 is about 10281.5306739804. The cubic root of 105709873 is about 472.8301741240.

The spelling of 105709873 in words is "one hundred five million, seven hundred nine thousand, eight hundred seventy-three".