10116267 has 16 divisors (see below), whose sum is σ = 15628800. Its totient is φ = 5700672.

The previous prime is 10116259. The next prime is 10116277. The reversal of 10116267 is 76261101.

It is not a de Polignac number, because 10116267 - 2³ = 10116259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10116277) 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 15 ways as a sum of consecutive naturals, for example, 1767 + ... + 4832.

It is an arithmetic number, because the mean of its divisors is an integer number (976800).

Almost surely, 2^10116267 is an apocalyptic number.

10116267 is a deficient number, since it is larger than the sum of its proper divisors (5512533).

10116267 is an equidigital number, since it uses as much as digits as its factorization.

10116267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10116267 is about 3180.6079607522. The cubic root of 10116267 is about 216.2752193070.

Adding to 10116267 its reverse (76261101), we get a palindrome (86377368).

The spelling of 10116267 in words is "ten million, one hundred sixteen thousand, two hundred sixty-seven".