106866216 has 160 divisors (see below), whose sum is σ = 323433000. Its totient is φ = 32845824.

The previous prime is 106866197. The next prime is 106866239. The reversal of 106866216 is 612668601.

It can be written as a sum of positive squares in 4 ways, for example, as 96943716 + 9922500 = 9846^2 + 3150^2 .

It is a super-2 number, since 2×106866216² = 22840776244317312, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 980370 + ... + 980478.

Almost surely, 2^106866216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106866216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161716500).

106866216 is an abundant number, since it is smaller than the sum of its proper divisors (216566784).

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

106866216 is a wasteful number, since it uses less digits than its factorization.

106866216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106866216 is about 10337.6117164459. The cubic root of 106866216 is about 474.5479962390.

The spelling of 106866216 in words is "one hundred six million, eight hundred sixty-six thousand, two hundred sixteen".