105335649 has 12 divisors (see below), whose sum is σ = 152818900. Its totient is φ = 69915744.

The previous prime is 105335641. The next prime is 105335663. The reversal of 105335649 is 946533501.

105335649 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 3 + 5 + 649 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99860049 + 5475600 = 9993^2 + 2340^2 .

It is not a de Polignac number, because 105335649 - 2³ = 105335641 is a prime.

It is a super-2 number, since 2×105335649² = 22191197900502402, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105335641) 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 11 ways as a sum of consecutive naturals, for example, 23494 + ... + 27615.

Almost surely, 2^105335649 is an apocalyptic number.

It is an amenable number.

105335649 is a deficient number, since it is larger than the sum of its proper divisors (47483251).

105335649 is a wasteful number, since it uses less digits than its factorization.

105335649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51344 (or 51341 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 105335649 is about 10263.3156923092. The cubic root of 105335649 is about 472.2715583384.

The spelling of 105335649 in words is "one hundred five million, three hundred thirty-five thousand, six hundred forty-nine".