101667681 has 12 divisors (see below), whose sum is σ = 147014400. Its totient is φ = 67704120.

The previous prime is 101667623. The next prime is 101667697. The reversal of 101667681 is 186766101.

It is not a de Polignac number, because 101667681 - 2¹⁷ = 101536609 is a prime.

It is a super-3 number, since 3×101667681³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (101667481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3220 + ... + 14618.

It is an arithmetic number, because the mean of its divisors is an integer number (12251200).

Almost surely, 2^101667681 is an apocalyptic number.

It is an amenable number.

101667681 is a deficient number, since it is larger than the sum of its proper divisors (45346719).

101667681 is a wasteful number, since it uses less digits than its factorization.

101667681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12396 (or 12393 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 101667681 is about 10083.0392739491. The cubic root of 101667681 is about 466.7249012928.

The spelling of 101667681 in words is "one hundred one million, six hundred sixty-seven thousand, six hundred eighty-one".