106843968 has 336 divisors, whose sum is σ = 399978880. Its totient is φ = 27371520.

The previous prime is 106843967. The next prime is 106843969. The reversal of 106843968 is 869348601.

It is an interprime number because it is at equal distance from previous prime (106843967) and next prime (106843969).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×106843968² = 22831266995970048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106843967) 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 47 ways as a sum of consecutive naturals, for example, 1463580 + ... + 1463652.

Almost surely, 2^106843968 is an apocalyptic number.

106843968 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 106843968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199989440).

106843968 is an abundant number, since it is smaller than the sum of its proper divisors (293134912).

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

106843968 is a wasteful number, since it uses less digits than its factorization.

106843968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 106843968 is about 10336.5355898386. The cubic root of 106843968 is about 474.5150626112.

The spelling of 106843968 in words is "one hundred six million, eight hundred forty-three thousand, nine hundred sixty-eight".