103968306 has 64 divisors (see below), whose sum is σ = 257443200. Its totient is φ = 30881088.

The previous prime is 103968301. The next prime is 103968307. The reversal of 103968306 is 603869301.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103968301) 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 31 ways as a sum of consecutive naturals, for example, 17805 + ... + 22911.

It is an arithmetic number, because the mean of its divisors is an integer number (4022550).

Almost surely, 2^103968306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103968306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128721600).

103968306 is an abundant number, since it is smaller than the sum of its proper divisors (153474894).

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

103968306 is a wasteful number, since it uses less digits than its factorization.

103968306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160 (or 5154 counting only the distinct ones).

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

The square root of 103968306 is about 10196.4849825810. The cubic root of 103968306 is about 470.2191614075.

The spelling of 103968306 in words is "one hundred three million, nine hundred sixty-eight thousand, three hundred six".