106866648 has 192 divisors, whose sum is σ = 361152000. Its totient is φ = 29139264.

The previous prime is 106866629. The next prime is 106866649. The reversal of 106866648 is 846668601.

It is a super-2 number, since 2×106866648² = 22840960909511808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106866649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243213 + ... + 243651.

It is an arithmetic number, because the mean of its divisors is an integer number (1881000).

Almost surely, 2^106866648 is an apocalyptic number.

106866648 is a gapful number since it is divisible by the number (18) 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 106866648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180576000).

106866648 is an abundant number, since it is smaller than the sum of its proper divisors (254285352).

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

106866648 is a wasteful number, since it uses less digits than its factorization.

106866648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 106866648 is about 10337.6326109995. The cubic root of 106866648 is about 474.5486356817.

The spelling of 106866648 in words is "one hundred six million, eight hundred sixty-six thousand, six hundred forty-eight".