101667216 has 40 divisors (see below), whose sum is σ = 300161344. Its totient is φ = 29047680.

The previous prime is 101667211. The next prime is 101667229. The reversal of 101667216 is 612766101.

It is not an unprimeable number, because it can be changed into a prime (101667211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150955 + ... + 151626.

Almost surely, 2^101667216 is an apocalyptic number.

101667216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101667216 is an abundant number, since it is smaller than the sum of its proper divisors (198494128).

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

101667216 is a wasteful number, since it uses less digits than its factorization.

101667216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302599 (or 302593 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 101667216 is about 10083.0162153990. The cubic root of 101667216 is about 466.7241897346.

The spelling of 101667216 in words is "one hundred one million, six hundred sixty-seven thousand, two hundred sixteen".