106650 has 48 divisors (see below), whose sum is σ = 297600. Its totient is φ = 28080.

The previous prime is 106649. The next prime is 106657. The reversal of 106650 is 56601.

106650 is a `hidden beast` number, since 1 + 0 + 665 + 0 = 666.

It is a super-2 number, since 2×106650² = 22748445000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106650.

It is not an unprimeable number, because it can be changed into a prime (106657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1311 + ... + 1389.

It is an arithmetic number, because the mean of its divisors is an integer number (6200).

2¹⁰⁶⁶⁵⁰ is an apocalyptic number.

106650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800).

106650 is an abundant number, since it is smaller than the sum of its proper divisors (190950).

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

106650 is a wasteful number, since it uses less digits than its factorization.

106650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 106650 is about 326.5731158562. The cubic root of 106650 is about 47.4227738664.

The spelling of 106650 in words is "one hundred six thousand, six hundred fifty".