105238847 has 16 divisors (see below), whose sum is σ = 122974272. Its totient is φ = 88197120.

The previous prime is 105238817. The next prime is 105238871. The reversal of 105238847 is 748832501.

It is a cyclic number.

It is not a de Polignac number, because 105238847 - 2⁸ = 105238591 is a prime.

It is a super-2 number, since 2×105238847² = 22150429835778818, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105238847.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105238817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81773 + ... + 83049.

It is an arithmetic number, because the mean of its divisors is an integer number (7685892).

Almost surely, 2^105238847 is an apocalyptic number.

105238847 is a deficient number, since it is larger than the sum of its proper divisors (17735425).

105238847 is a wasteful number, since it uses less digits than its factorization.

105238847 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538.

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 105238847 is about 10258.5986859805. The cubic root of 105238847 is about 472.1268436625.

The spelling of 105238847 in words is "one hundred five million, two hundred thirty-eight thousand, eight hundred forty-seven".