103891416 has 64 divisors (see below), whose sum is σ = 269568000. Its totient is φ = 33331200.

The previous prime is 103891393. The next prime is 103891429. The reversal of 103891416 is 614198301.

It is a congruent number.

It is an unprimeable number.

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, 231160 + ... + 231608.

It is an arithmetic number, because the mean of its divisors is an integer number (4212000).

Almost surely, 2^103891416 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 103891416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784000).

103891416 is an abundant number, since it is smaller than the sum of its proper divisors (165676584).

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

103891416 is a wasteful number, since it uses less digits than its factorization.

103891416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 103891416 is about 10192.7138682492. The cubic root of 103891416 is about 470.1032155991.

The spelling of 103891416 in words is "one hundred three million, eight hundred ninety-one thousand, four hundred sixteen".