10768149 has 24 divisors (see below), whose sum is σ = 18083520. Its totient is φ = 6046848.

The previous prime is 10768141. The next prime is 10768187. The reversal of 10768149 is 94186701.

It is not a de Polignac number, because 10768149 - 2³ = 10768141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10768141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2269 + ... + 5165.

It is an arithmetic number, because the mean of its divisors is an integer number (753480).

Almost surely, 2^10768149 is an apocalyptic number.

It is an amenable number.

10768149 is a deficient number, since it is larger than the sum of its proper divisors (7315371).

10768149 is a wasteful number, since it uses less digits than its factorization.

10768149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10768149 is about 3281.4857915280. The cubic root of 10768149 is about 220.8243794954.

The spelling of 10768149 in words is "ten million, seven hundred sixty-eight thousand, one hundred forty-nine".