105916869 has 16 divisors (see below), whose sum is σ = 160564800. Its totient is φ = 68968368.

The previous prime is 105916861. The next prime is 105916871. The reversal of 105916869 is 968619501.

It is not a de Polignac number, because 105916869 - 2³ = 105916861 is a prime.

It is a super-2 number, since 2×105916869² = 22436766277526322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105916861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44454 + ... + 46775.

It is an arithmetic number, because the mean of its divisors is an integer number (10035300).

Almost surely, 2^105916869 is an apocalyptic number.

It is an amenable number.

105916869 is a deficient number, since it is larger than the sum of its proper divisors (54647931).

105916869 is an equidigital number, since it uses as much as digits as its factorization.

105916869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91281 (or 91275 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 105916869 is about 10291.5921508773. The cubic root of 105916869 is about 473.1385973498.

The spelling of 105916869 in words is "one hundred five million, nine hundred sixteen thousand, eight hundred sixty-nine".