105868647 has 16 divisors (see below), whose sum is σ = 162252000. Its totient is φ = 68144832.

The previous prime is 105868603. The next prime is 105868657. The reversal of 105868647 is 746868501.

It is a happy number.

105868647 is a `hidden beast` number, since 1 + 0 + 586 + 8 + 64 + 7 = 666.

It is not a de Polignac number, because 105868647 - 2¹⁵ = 105835879 is a prime.

It is a super-2 number, since 2×105868647² = 22416340835221218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105868657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66822 + ... + 68387.

It is an arithmetic number, because the mean of its divisors is an integer number (10140750).

Almost surely, 2^105868647 is an apocalyptic number.

105868647 is a deficient number, since it is larger than the sum of its proper divisors (56383353).

105868647 is a wasteful number, since it uses less digits than its factorization.

105868647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135247 (or 135241 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 105868647 is about 10289.2490979663. The cubic root of 105868647 is about 473.0667826866.

The spelling of 105868647 in words is "one hundred five million, eight hundred sixty-eight thousand, six hundred forty-seven".