103946568 has 256 divisors, whose sum is σ = 335923200. Its totient is φ = 26357760.

The previous prime is 103946539. The next prime is 103946573. The reversal of 103946568 is 865649301.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1961230 + ... + 1961282.

It is an arithmetic number, because the mean of its divisors is an integer number (1312200).

Almost surely, 2^103946568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103946568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167961600).

103946568 is an abundant number, since it is smaller than the sum of its proper divisors (231976632).

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

103946568 is a wasteful number, since it uses less digits than its factorization.

103946568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 103946568 is about 10195.4189712831. The cubic root of 103946568 is about 470.1863875203.

The spelling of 103946568 in words is "one hundred three million, nine hundred forty-six thousand, five hundred sixty-eight".