103384864 has 48 divisors (see below), whose sum is σ = 223745760. Its totient is φ = 46632960.

The previous prime is 103384859. The next prime is 103384867. The reversal of 103384864 is 468483301.

It is not an unprimeable number, because it can be changed into a prime (103384867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47872 + ... + 49984.

It is an arithmetic number, because the mean of its divisors is an integer number (4661370).

Almost surely, 2^103384864 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 103384864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111872880).

103384864 is an abundant number, since it is smaller than the sum of its proper divisors (120360896).

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

103384864 is a wasteful number, since it uses less digits than its factorization.

103384864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 103384864 is about 10167.8347744247. The cubic root of 103384864 is about 469.3379300370.

The spelling of 103384864 in words is "one hundred three million, three hundred eighty-four thousand, eight hundred sixty-four".