105649047 has 18 divisors (see below), whose sum is σ = 177519888. Its totient is φ = 60370632.

The previous prime is 105649039. The next prime is 105649069. The reversal of 105649047 is 740946501.

105649047 is a `hidden beast` number, since 1 + 0 + 5 + 649 + 0 + 4 + 7 = 666.

It is not a de Polignac number, because 105649047 - 2³ = 105649039 is a prime.

It is a super-2 number, since 2×105649047² = 22323442264016418, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105649007) 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 17 ways as a sum of consecutive naturals, for example, 119343 + ... + 120224.

It is an arithmetic number, because the mean of its divisors is an integer number (9862216).

Almost surely, 2^105649047 is an apocalyptic number.

105649047 is a deficient number, since it is larger than the sum of its proper divisors (71870841).

105649047 is a wasteful number, since it uses less digits than its factorization.

105649047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239587 (or 239577 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 105649047 is about 10278.5722257520. The cubic root of 105649047 is about 472.7394670929.

The spelling of 105649047 in words is "one hundred five million, six hundred forty-nine thousand, forty-seven".