10966905 has 12 divisors (see below), whose sum is σ = 19009380. Its totient is φ = 5848992.

The previous prime is 10966903. The next prime is 10966913. The reversal of 10966905 is 50966901.

It can be written as a sum of positive squares in 2 ways, for example, as 4372281 + 6594624 = 2091^2 + 2568^2 .

It is not a de Polignac number, because 10966905 - 2¹ = 10966903 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10966905.

It is not an unprimeable number, because it can be changed into a prime (10966903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121810 + ... + 121899.

It is an arithmetic number, because the mean of its divisors is an integer number (1584115).

Almost surely, 2^10966905 is an apocalyptic number.

10966905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10966905 is a deficient number, since it is larger than the sum of its proper divisors (8042475).

10966905 is a wasteful number, since it uses less digits than its factorization.

10966905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243720 (or 243717 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 10966905 is about 3311.6317730086. The cubic root of 10966905 is about 222.1747467562.

It can be divided in two parts, 1096 and 6905, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 10966905 in words is "ten million, nine hundred sixty-six thousand, nine hundred five".