10906857 has 24 divisors (see below), whose sum is σ = 17212104. Its totient is φ = 6614784.

The previous prime is 10906849. The next prime is 10906919. The reversal of 10906857 is 75860901.

It can be written as a sum of positive squares in 4 ways, for example, as 1022121 + 9884736 = 1011^2 + 3144^2 .

It is not a de Polignac number, because 10906857 - 2³ = 10906849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10906457) 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 23 ways as a sum of consecutive naturals, for example, 7903 + ... + 9179.

It is an arithmetic number, because the mean of its divisors is an integer number (717171).

Almost surely, 2^10906857 is an apocalyptic number.

It is an amenable number.

10906857 is a deficient number, since it is larger than the sum of its proper divisors (6305247).

10906857 is a wasteful number, since it uses less digits than its factorization.

10906857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 10906857 is about 3302.5531032824. The cubic root of 10906857 is about 221.7685071705.

The spelling of 10906857 in words is "ten million, nine hundred six thousand, eight hundred fifty-seven".