100664667 has 16 divisors (see below), whose sum is σ = 157906080. Its totient is φ = 63161856.

The previous prime is 100664659. The next prime is 100664671. The reversal of 100664667 is 766466001.

100664667 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 646 + 6 + 7 = 666.

It is not a de Polignac number, because 100664667 - 2³ = 100664659 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (100664617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109198 + ... + 110115.

It is an arithmetic number, because the mean of its divisors is an integer number (9869130).

Almost surely, 2^100664667 is an apocalyptic number.

100664667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

100664667 is a deficient number, since it is larger than the sum of its proper divisors (57241413).

100664667 is a wasteful number, since it uses less digits than its factorization.

100664667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219339 (or 219333 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 100664667 is about 10033.1783099873. The cubic root of 100664667 is about 465.1849836332.

The spelling of 100664667 in words is "one hundred million, six hundred sixty-four thousand, six hundred sixty-seven".