105352605 has 48 divisors (see below), whose sum is σ = 187888896. Its totient is φ = 54587520.

The previous prime is 105352591. The next prime is 105352613. The reversal of 105352605 is 506253501.

105352605 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 52 + 605 = 666.

It is not a de Polignac number, because 105352605 - 2¹⁴ = 105336221 is a prime.

It is a super-2 number, since 2×105352605² = 22198342760572050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388620 + ... + 388890.

It is an arithmetic number, because the mean of its divisors is an integer number (3914352).

Almost surely, 2^105352605 is an apocalyptic number.

105352605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105352605 is a deficient number, since it is larger than the sum of its proper divisors (82536291).

105352605 is a wasteful number, since it uses less digits than its factorization.

105352605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 105352605 is about 10264.1417079072. The cubic root of 105352605 is about 472.2968976766.

The spelling of 105352605 in words is "one hundred five million, three hundred fifty-two thousand, six hundred five".