105961653 has 12 divisors (see below), whose sum is σ = 174920928. Its totient is φ = 60549480.

The previous prime is 105961631. The next prime is 105961703. The reversal of 105961653 is 356169501.

105961653 is a `hidden beast` number, since 1 + 0 + 596 + 1 + 65 + 3 = 666.

It is not a de Polignac number, because 105961653 - 2⁸ = 105961397 is a prime.

It is a super-2 number, since 2×105961653² = 22455743812984818, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105965653) 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, 840903 + ... + 841028.

It is an arithmetic number, because the mean of its divisors is an integer number (14576744).

Almost surely, 2^105961653 is an apocalyptic number.

It is an amenable number.

105961653 is a deficient number, since it is larger than the sum of its proper divisors (68959275).

105961653 is a wasteful number, since it uses less digits than its factorization.

105961653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681944 (or 1681941 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 105961653 is about 10293.7676775804. The cubic root of 105961653 is about 473.2052724491.

The spelling of 105961653 in words is "one hundred five million, nine hundred sixty-one thousand, six hundred fifty-three".