101666047 has 18 divisors (see below), whose sum is σ = 120585528. Its totient is φ = 83963952.

The previous prime is 101666041. The next prime is 101666051. The reversal of 101666047 is 740666101.

It is not a de Polignac number, because 101666047 - 2³ = 101666039 is a prime.

It is a super-2 number, since 2×101666047² = 20671970225212418, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101666041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 986998 + ... + 987100.

It is an arithmetic number, because the mean of its divisors is an integer number (6699196).

Almost surely, 2^101666047 is an apocalyptic number.

101666047 is a deficient number, since it is larger than the sum of its proper divisors (18919481).

101666047 is an frugal number, since it uses more digits than its factorization.

101666047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 101666047 is about 10082.9582464672. The cubic root of 101666047 is about 466.7224008831.

The spelling of 101666047 in words is "one hundred one million, six hundred sixty-six thousand, forty-seven".