106303968 has 96 divisors (see below), whose sum is σ = 315292320. Its totient is φ = 34836480.

The previous prime is 106303963. The next prime is 106303973. The reversal of 106303968 is 869303601.

It is a happy number.

106303968 is a `hidden beast` number, since 10 + 630 + 3 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (106303963) and next prime (106303973).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106303968² = 22601067225090048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106303961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51696 + ... + 53712.

It is an arithmetic number, because the mean of its divisors is an integer number (3284295).

Almost surely, 2^106303968 is an apocalyptic number.

106303968 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 106303968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157646160).

106303968 is an abundant number, since it is smaller than the sum of its proper divisors (208988352).

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

106303968 is a wasteful number, since it uses less digits than its factorization.

106303968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 106303968 is about 10310.3815642293. The cubic root of 106303968 is about 473.7142966621.

The spelling of 106303968 in words is "one hundred six million, three hundred three thousand, nine hundred sixty-eight".