10288107 has 16 divisors (see below), whose sum is σ = 15905280. Its totient is φ = 6560136.

The previous prime is 10288097. The next prime is 10288121. The reversal of 10288107 is 70188201.

It is not a de Polignac number, because 10288107 - 2¹² = 10284011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10288147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7663 + ... + 8904.

It is an arithmetic number, because the mean of its divisors is an integer number (994080).

Almost surely, 2^10288107 is an apocalyptic number.

10288107 is a deficient number, since it is larger than the sum of its proper divisors (5617173).

10288107 is a wasteful number, since it uses less digits than its factorization.

10288107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16599 (or 16593 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 10288107 is about 3207.5079111360. The cubic root of 10288107 is about 217.4929367504.

It can be divided in two parts, 102 and 88107, that added together give a square (88209 = 297²).

The spelling of 10288107 in words is "ten million, two hundred eighty-eight thousand, one hundred seven".