11985105 has 32 divisors (see below), whose sum is σ = 22026240. Its totient is φ = 5503680.

The previous prime is 11985101. The next prime is 11985109. The reversal of 11985105 is 50158911.

11985105 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11985101) and next prime (11985109).

It is not a de Polignac number, because 11985105 - 2² = 11985101 is a prime.

It is a super-2 number, since 2×11985105² = 287285483722050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11985101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224 + ... + 5046.

It is an arithmetic number, because the mean of its divisors is an integer number (688320).

Almost surely, 2^11985105 is an apocalyptic number.

11985105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11985105 is a deficient number, since it is larger than the sum of its proper divisors (10041135).

11985105 is a wasteful number, since it uses less digits than its factorization.

11985105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861.

The product of its (nonzero) digits is 1800, while the sum is 30.

The square root of 11985105 is about 3461.9510395151. The cubic root of 11985105 is about 228.8480841875.

It can be divided in two parts, 11985 and 105, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 11985105 in words is "eleven million, nine hundred eighty-five thousand, one hundred five".