105168436605 has 12 divisors (see below), whose sum is σ = 182291956860. Its totient is φ = 56089832832.

The previous prime is 105168436573. The next prime is 105168436627. The reversal of 105168436605 is 506634861501.

105168436605 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 6 + 8 + 4 + 36 + 605 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31216529124 + 73951907481 = 176682^2 + 271941^2 .

It is not a de Polignac number, because 105168436605 - 2⁵ = 105168436573 is a prime.

It is a super-3 number, since 3×105168436605³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2337076369 = 105168436605 / (1 + 0 + 5 + 1 + 6 + 8 + 4 + 3 + 6 + 6 + 0 + 5).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1168538140 + ... + 1168538229.

It is an arithmetic number, because the mean of its divisors is an integer number (15190996405).

Almost surely, 2^105168436605 is an apocalyptic number.

105168436605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105168436605 is a deficient number, since it is larger than the sum of its proper divisors (77123520255).

105168436605 is a wasteful number, since it uses less digits than its factorization.

105168436605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337076380 (or 2337076377 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 105168436605 in words is "one hundred five billion, one hundred sixty-eight million, four hundred thirty-six thousand, six hundred five".