106664112 has 60 divisors (see below), whose sum is σ = 303429984. Its totient is φ = 34968960.

The previous prime is 106664099. The next prime is 106664161. The reversal of 106664112 is 211466601.

It is a super-2 number, since 2×106664112² = 22754465577497088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2713 + ... + 14855.

Almost surely, 2^106664112 is an apocalyptic number.

106664112 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 106664112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151714992).

106664112 is an abundant number, since it is smaller than the sum of its proper divisors (196765872).

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

106664112 is a wasteful number, since it uses less digits than its factorization.

106664112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12218 (or 12209 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106664112 is about 10327.8319118777. The cubic root of 106664112 is about 474.2486544531.

The spelling of 106664112 in words is "one hundred six million, six hundred sixty-four thousand, one hundred twelve".