105843987 has 24 divisors (see below), whose sum is σ = 156149760. Its totient is φ = 69070320.

The previous prime is 105843979. The next prime is 105844033. The reversal of 105843987 is 789348501.

It is not a de Polignac number, because 105843987 - 2³ = 105843979 is a prime.

It is a super-2 number, since 2×105843987² = 22405899168112338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105843917) 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 in 23 ways as a sum of consecutive naturals, for example, 114714 + ... + 115632.

It is an arithmetic number, because the mean of its divisors is an integer number (6506240).

Almost surely, 2^105843987 is an apocalyptic number.

105843987 is a deficient number, since it is larger than the sum of its proper divisors (50305773).

105843987 is a wasteful number, since it uses less digits than its factorization.

105843987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 105843987 is about 10288.0506899995. The cubic root of 105843987 is about 473.0300493285.

The spelling of 105843987 in words is "one hundred five million, eight hundred forty-three thousand, nine hundred eighty-seven".