10906905 has 16 divisors (see below), whose sum is σ = 17544384. Its totient is φ = 5785920.

The previous prime is 10906849. The next prime is 10906919. The reversal of 10906905 is 50960901.

10906905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10906905 - 2¹¹ = 10904857 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110 + ... + 4800.

It is an arithmetic number, because the mean of its divisors is an integer number (1096524).

Almost surely, 2^10906905 is an apocalyptic number.

10906905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10906905 is a deficient number, since it is larger than the sum of its proper divisors (6637479).

10906905 is a wasteful number, since it uses less digits than its factorization.

10906905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 10906905 is about 3302.5603703793. The cubic root of 10906905 is about 221.7688324972.

It can be divided in two parts, 10906 and 905, that added together give a palindrome (11811).

The spelling of 10906905 in words is "ten million, nine hundred six thousand, nine hundred five".