103411984 has 80 divisors (see below), whose sum is σ = 229985280. Its totient is φ = 44651520.

The previous prime is 103411967. The next prime is 103411993. The reversal of 103411984 is 489114301.

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, 541329 + ... + 541519.

It is an arithmetic number, because the mean of its divisors is an integer number (2874816).

Almost surely, 2^103411984 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 103411984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114992640).

103411984 is an abundant number, since it is smaller than the sum of its proper divisors (126573296).

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

103411984 is a wasteful number, since it uses less digits than its factorization.

103411984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 103411984 is about 10169.1683042420. The cubic root of 103411984 is about 469.3789654825.

The spelling of 103411984 in words is "one hundred three million, four hundred eleven thousand, nine hundred eighty-four".