103933116 has 144 divisors (see below), whose sum is σ = 323232000. Its totient is φ = 28068768.

The previous prime is 103933103. The next prime is 103933139. The reversal of 103933116 is 611339301.

It is a self number, because there is not a number n which added to its sum of digits gives 103933116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234391 + ... + 234833.

Almost surely, 2^103933116 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 103933116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161616000).

103933116 is an abundant number, since it is smaller than the sum of its proper divisors (219298884).

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

103933116 is a wasteful number, since it uses less digits than its factorization.

103933116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 103933116 is about 10194.7592418850. The cubic root of 103933116 is about 470.1661039577.

The spelling of 103933116 in words is "one hundred three million, nine hundred thirty-three thousand, one hundred sixteen".