105047969 has 16 divisors (see below), whose sum is σ = 118473600. Its totient is φ = 92416896.

The previous prime is 105047963. The next prime is 105047989. The reversal of 105047969 is 969740501.

It is not a de Polignac number, because 105047969 - 2²⁴ = 88270753 is a prime.

It is a super-2 number, since 2×105047969² = 22070151582049922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105047963) 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 15 ways as a sum of consecutive naturals, for example, 121862 + ... + 122720.

It is an arithmetic number, because the mean of its divisors is an integer number (7404600).

Almost surely, 2^105047969 is an apocalyptic number.

It is an amenable number.

105047969 is a deficient number, since it is larger than the sum of its proper divisors (13425631).

105047969 is a wasteful number, since it uses less digits than its factorization.

105047969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304.

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 105047969 is about 10249.2911462208. The cubic root of 105047969 is about 471.8412293362.

The spelling of 105047969 in words is "one hundred five million, forty-seven thousand, nine hundred sixty-nine".