105122873 has 2 divisors, whose sum is σ = 105122874. Its totient is φ = 105122872.

The previous prime is 105122863. The next prime is 105122881. The reversal of 105122873 is 378221501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93644329 + 11478544 = 9677^2 + 3388^2 .

It is a cyclic number.

It is not a de Polignac number, because 105122873 - 2¹² = 105118777 is a prime.

It is a super-2 number, since 2×105122873² = 22101636855548258, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_6039344 and since 105122873 and 6039344 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105122803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52561436 + 52561437.

It is an arithmetic number, because the mean of its divisors is an integer number (52561437).

Almost surely, 2^105122873 is an apocalyptic number.

It is an amenable number.

105122873 is a deficient number, since it is larger than the sum of its proper divisors (1).

105122873 is an equidigital number, since it uses as much as digits as its factorization.

105122873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 105122873 is about 10252.9446014304. The cubic root of 105122873 is about 471.9533508072.

The spelling of 105122873 in words is "one hundred five million, one hundred twenty-two thousand, eight hundred seventy-three".