105583985 has 32 divisors (see below), whose sum is σ = 143324160. Its totient is φ = 74131200.

The previous prime is 105583939. The next prime is 105583987. The reversal of 105583985 is 589385501.

105583985 = T₁₈₃₀ + T₁₈₃₁ + ... + T₁₈₉₀.

It is not a de Polignac number, because 105583985 - 2⁶ = 105583921 is a prime.

It is a super-2 number, since 2×105583985² = 22295955776960450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105583987) 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 31 ways as a sum of consecutive naturals, for example, 122486 + ... + 123344.

It is an arithmetic number, because the mean of its divisors is an integer number (4478880).

Almost surely, 2^105583985 is an apocalyptic number.

It is an amenable number.

105583985 is a deficient number, since it is larger than the sum of its proper divisors (37740175).

105583985 is a wasteful number, since it uses less digits than its factorization.

105583985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969.

The product of its (nonzero) digits is 216000, while the sum is 44.

The square root of 105583985 is about 10275.4068045990. The cubic root of 105583985 is about 472.6424045636.

The spelling of 105583985 in words is "one hundred five million, five hundred eighty-three thousand, nine hundred eighty-five".