10905985 has 8 divisors (see below), whose sum is σ = 13121640. Its totient is φ = 8701824.

The previous prime is 10905967. The next prime is 10905989. The reversal of 10905985 is 58950901.

10905985 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7017201 + 3888784 = 2649^2 + 1972^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10905985 - 2⁵ = 10905953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10905989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 622 + ... + 4711.

It is an arithmetic number, because the mean of its divisors is an integer number (1640205).

Almost surely, 2^10905985 is an apocalyptic number.

It is an amenable number.

10905985 is a deficient number, since it is larger than the sum of its proper divisors (2215655).

10905985 is an equidigital number, since it uses as much as digits as its factorization.

10905985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747.

The product of its (nonzero) digits is 16200, while the sum is 37.

The square root of 10905985 is about 3302.4210815703. The cubic root of 10905985 is about 221.7625969041.

The spelling of 10905985 in words is "ten million, nine hundred five thousand, nine hundred eighty-five".