105268653 has 80 divisors (see below), whose sum is σ = 190688256. Its totient is φ = 56609280.

The previous prime is 105268627. The next prime is 105268661. The reversal of 105268653 is 356862501.

105268653 is a `hidden beast` number, since 1 + 0 + 526 + 86 + 53 = 666.

It is not a de Polignac number, because 105268653 - 2⁵ = 105268621 is a prime.

It is a super-2 number, since 2×105268653² = 22162978608868818, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105268613) 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 79 ways as a sum of consecutive naturals, for example, 931525 + ... + 931637.

Almost surely, 2^105268653 is an apocalyptic number.

It is an amenable number.

105268653 is a deficient number, since it is larger than the sum of its proper divisors (85419603).

105268653 is a wasteful number, since it uses less digits than its factorization.

105268653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 105268653 is about 10260.0513156611. The cubic root of 105268653 is about 472.1714117562.

The spelling of 105268653 in words is "one hundred five million, two hundred sixty-eight thousand, six hundred fifty-three".