105497687 has 2 divisors, whose sum is σ = 105497688. Its totient is φ = 105497686.

The previous prime is 105497669. The next prime is 105497753. The reversal of 105497687 is 786794501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105497687 - 2¹⁰ = 105496663 is a prime.

It is a super-2 number, since 2×105497687² = 22259523924699938, 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 (105457687) 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, 52748843 + 52748844.

It is an arithmetic number, because the mean of its divisors is an integer number (52748844).

Almost surely, 2^105497687 is an apocalyptic number.

105497687 is a deficient number, since it is larger than the sum of its proper divisors (1).

105497687 is an equidigital number, since it uses as much as digits as its factorization.

105497687 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 47.

The square root of 105497687 is about 10271.2066963916. The cubic root of 105497687 is about 472.5135996384.

The spelling of 105497687 in words is "one hundred five million, four hundred ninety-seven thousand, six hundred eighty-seven".