105864705 has 16 divisors (see below), whose sum is σ = 188204160. Its totient is φ = 56461104.

The previous prime is 105864683. The next prime is 105864719. The reversal of 105864705 is 507468501.

105864705 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 647 + 0 + 5 = 666.

It is not a de Polignac number, because 105864705 - 2⁶ = 105864641 is a prime.

It is a super-2 number, since 2×105864705² = 22414671529474050, 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 105864705.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 391957 + ... + 392226.

It is an arithmetic number, because the mean of its divisors is an integer number (11762760).

Almost surely, 2^105864705 is an apocalyptic number.

105864705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105864705 is a deficient number, since it is larger than the sum of its proper divisors (82339455).

105864705 is an equidigital number, since it uses as much as digits as its factorization.

105864705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784197 (or 784191 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 105864705 is about 10289.0575370147. The cubic root of 105864705 is about 473.0609110949.

The spelling of 105864705 in words is "one hundred five million, eight hundred sixty-four thousand, seven hundred five".