101667663 has 16 divisors (see below), whose sum is σ = 153090400. Its totient is φ = 66666240.

The previous prime is 101667623. The next prime is 101667697. The reversal of 101667663 is 366766101.

It is not a de Polignac number, because 101667663 - 2⁸ = 101667407 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101667623) 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, 29218 + ... + 32511.

It is an arithmetic number, because the mean of its divisors is an integer number (9568150).

Almost surely, 2^101667663 is an apocalyptic number.

101667663 is a deficient number, since it is larger than the sum of its proper divisors (51422737).

101667663 is an equidigital number, since it uses as much as digits as its factorization.

101667663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61799 (or 61793 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 101667663 is about 10083.0383813610. The cubic root of 101667663 is about 466.7248737486.

The spelling of 101667663 in words is "one hundred one million, six hundred sixty-seven thousand, six hundred sixty-three".