105653163 has 48 divisors (see below), whose sum is σ = 180182016. Its totient is φ = 54452160.

The previous prime is 105653161. The next prime is 105653201. The reversal of 105653163 is 361356501.

It is not a de Polignac number, because 105653163 - 2¹ = 105653161 is a prime.

It is a super-2 number, since 2×105653163² = 22325181703809138, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105653163.

It is not an unprimeable number, because it can be changed into a prime (105653161) 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 47 ways as a sum of consecutive naturals, for example, 360445 + ... + 360737.

It is an arithmetic number, because the mean of its divisors is an integer number (3753792).

Almost surely, 2^105653163 is an apocalyptic number.

105653163 is a deficient number, since it is larger than the sum of its proper divisors (74528853).

105653163 is a wasteful number, since it uses less digits than its factorization.

105653163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 105653163 is about 10278.7724461630. The cubic root of 105653163 is about 472.7456061934.

The spelling of 105653163 in words is "one hundred five million, six hundred fifty-three thousand, one hundred sixty-three".