10906577 has 12 divisors (see below), whose sum is σ = 12512640. Its totient is φ = 9481560.

The previous prime is 10906573. The next prime is 10906631. The reversal of 10906577 is 77560901.

It is not a de Polignac number, because 10906577 - 2² = 10906573 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10906573) 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 11 ways as a sum of consecutive naturals, for example, 824 + ... + 4742.

It is an arithmetic number, because the mean of its divisors is an integer number (1042720).

Almost surely, 2^10906577 is an apocalyptic number.

It is an amenable number.

10906577 is a deficient number, since it is larger than the sum of its proper divisors (1606063).

10906577 is a wasteful number, since it uses less digits than its factorization.

10906577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 10906577 is about 3302.5107115648. The cubic root of 10906577 is about 221.7666094129.

It can be divided in two parts, 1090 and 6577, that added together give a palindrome (7667).

The spelling of 10906577 in words is "ten million, nine hundred six thousand, five hundred seventy-seven".