105733047 has 64 divisors (see below), whose sum is σ = 181370880. Its totient is φ = 53374464.

The previous prime is 105733037. The next prime is 105733049. The reversal of 105733047 is 740337501.

It is not a de Polignac number, because 105733047 - 2⁶ = 105732983 is a prime.

It is a super-2 number, since 2×105733047² = 22358954455808418, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105733049) 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 63 ways as a sum of consecutive naturals, for example, 648588 + ... + 648750.

It is an arithmetic number, because the mean of its divisors is an integer number (2833920).

Almost surely, 2^105733047 is an apocalyptic number.

105733047 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105733047 is a deficient number, since it is larger than the sum of its proper divisors (75637833).

105733047 is a wasteful number, since it uses less digits than its factorization.

105733047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 105733047 is about 10282.6575844963. The cubic root of 105733047 is about 472.8647232963.

The spelling of 105733047 in words is "one hundred five million, seven hundred thirty-three thousand, forty-seven".