101666112 has 168 divisors, whose sum is σ = 302666400. Its totient is φ = 29998080.

The previous prime is 101666099. The next prime is 101666179. The reversal of 101666112 is 211666101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3279537 + ... + 3279567.

Almost surely, 2^101666112 is an apocalyptic number.

101666112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151333200).

101666112 is an abundant number, since it is smaller than the sum of its proper divisors (201000288).

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

101666112 is a wasteful number, since it uses less digits than its factorization.

101666112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 101666112 is about 10082.9614697270. The cubic root of 101666112 is about 466.7225003491.

The spelling of 101666112 in words is "one hundred one million, six hundred sixty-six thousand, one hundred twelve".