105125687 has 2 divisors, whose sum is σ = 105125688. Its totient is φ = 105125686.

The previous prime is 105125627. The next prime is 105125693. The reversal of 105125687 is 786521501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105125687 - 2⁶ = 105125623 is a prime.

It is a super-2 number, since 2×105125687² = 22102820134443938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105125627) 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, 52562843 + 52562844.

It is an arithmetic number, because the mean of its divisors is an integer number (52562844).

Almost surely, 2^105125687 is an apocalyptic number.

105125687 is a deficient number, since it is larger than the sum of its proper divisors (1).

105125687 is an equidigital number, since it uses as much as digits as its factorization.

105125687 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 105125687 is about 10253.0818293818. The cubic root of 105125687 is about 471.9575619582.

The spelling of 105125687 in words is "one hundred five million, one hundred twenty-five thousand, six hundred eighty-seven".