105985605 has 64 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 49593600.

The previous prime is 105985603. The next prime is 105985639. The reversal of 105985605 is 506589501.

It is not a de Polignac number, because 105985605 - 2¹ = 105985603 is a prime.

It is a super-2 number, since 2×105985605² = 22465896934432050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105985601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 972291 + ... + 972399.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 2^105985605 is an apocalyptic number.

105985605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105985605 is a deficient number, since it is larger than the sum of its proper divisors (85615035).

105985605 is a wasteful number, since it uses less digits than its factorization.

105985605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282.

The product of its (nonzero) digits is 54000, while the sum is 39.

The square root of 105985605 is about 10294.9310342518. The cubic root of 105985605 is about 473.2409248398.

The spelling of 105985605 in words is "one hundred five million, nine hundred eighty-five thousand, six hundred five".