66100167 has 36 divisors (see below), whose sum is σ = 114096216. Its totient is φ = 36741600.

The previous prime is 66100117. The next prime is 66100187. The reversal of 66100167 is 76100166.

It is not a de Polignac number, because 66100167 - 2¹² = 66096071 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66100167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66100117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14292 + ... + 18342.

Almost surely, 2^66100167 is an apocalyptic number.

66100167 is a deficient number, since it is larger than the sum of its proper divisors (47996049).

66100167 is a wasteful number, since it uses less digits than its factorization.

66100167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 66100167 is about 8130.2009200265. The cubic root of 66100167 is about 404.3283426058.

Subtracting 66100167 from its reverse (76100166), we obtain a palindrome (9999999).

The spelling of 66100167 in words is "sixty-six million, one hundred thousand, one hundred sixty-seven".