100666314 has 40 divisors (see below), whose sum is σ = 257793888. Its totient is φ = 28761480.

The previous prime is 100666277. The next prime is 100666327. The reversal of 100666314 is 413666001.

It is a super-3 number, since 3×100666314³ (a number of 25 digits) contains 333 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43252 + ... + 45519.

Almost surely, 2^100666314 is an apocalyptic number.

100666314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100666314 is an abundant number, since it is smaller than the sum of its proper divisors (157127574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100666314 is an equidigital number, since it uses as much as digits as its factorization.

100666314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88792 (or 88783 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 100666314 is about 10033.2603873317. The cubic root of 100666314 is about 465.1875206223.

The spelling of 100666314 in words is "one hundred million, six hundred sixty-six thousand, three hundred fourteen".