106866144 has 288 divisors, whose sum is σ = 389975040. Its totient is φ = 26956800.

The previous prime is 106866121. The next prime is 106866157. The reversal of 106866144 is 441668601.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106866144² = 22840745466857472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106866099 and 106866108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1352697 + ... + 1352775.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^106866144 is an apocalyptic number.

106866144 is a gapful number since it is divisible by the number (14) 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 106866144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

106866144 is an abundant number, since it is smaller than the sum of its proper divisors (283108896).

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

106866144 is a wasteful number, since it uses less digits than its factorization.

106866144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106866144 is about 10337.6082340162. The cubic root of 106866144 is about 474.5478896651.

The spelling of 106866144 in words is "one hundred six million, eight hundred sixty-six thousand, one hundred forty-four".