10166931 has 16 divisors (see below), whose sum is σ = 15311520. Its totient is φ = 6665760.

The previous prime is 10166927. The next prime is 10166941. The reversal of 10166931 is 13966101.

It is not a de Polignac number, because 10166931 - 2² = 10166927 is a prime.

It is a super-2 number, since 2×10166931² = 206732971917522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 10166895 and 10166904.

It is not an unprimeable number, because it can be changed into a prime (10166911) 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 15 ways as a sum of consecutive naturals, for example, 1440 + ... + 4733.

It is an arithmetic number, because the mean of its divisors is an integer number (956970).

Almost surely, 2^10166931 is an apocalyptic number.

10166931 is a deficient number, since it is larger than the sum of its proper divisors (5144589).

10166931 is an equidigital number, since it uses as much as digits as its factorization.

10166931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6243 (or 6237 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10166931 is about 3188.5625287894. The cubic root of 10166931 is about 216.6356660446.

The spelling of 10166931 in words is "ten million, one hundred sixty-six thousand, nine hundred thirty-one".