106645968 has 120 divisors (see below), whose sum is σ = 350706720. Its totient is φ = 29825280.

The previous prime is 106645949. The next prime is 106645969. The reversal of 106645968 is 869546601.

It is a super-2 number, since 2×106645968² = 22746724981314048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106645969) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18003 + ... + 23181.

It is an arithmetic number, because the mean of its divisors is an integer number (2922556).

Almost surely, 2^106645968 is an apocalyptic number.

106645968 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 106645968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175353360).

106645968 is an abundant number, since it is smaller than the sum of its proper divisors (244060752).

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

106645968 is a wasteful number, since it uses less digits than its factorization.

106645968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 106645968 is about 10326.9534713777. The cubic root of 106645968 is about 474.2217623855.

The spelling of 106645968 in words is "one hundred six million, six hundred forty-five thousand, nine hundred sixty-eight".