103884288 has 80 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 33867776.

The previous prime is 103884269. The next prime is 103884299. The reversal of 103884288 is 882488301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71473 + ... + 72911.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 2^103884288 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 103884288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

103884288 is an abundant number, since it is smaller than the sum of its proper divisors (178954752).

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

103884288 is an equidigital number, since it uses as much as digits as its factorization.

103884288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 103884288 is about 10192.3642007142. The cubic root of 103884288 is about 470.0924640777.

The spelling of 103884288 in words is "one hundred three million, eight hundred eighty-four thousand, two hundred eighty-eight".