103388688 has 60 divisors (see below), whose sum is σ = 311607660. Its totient is φ = 31811328.

The previous prime is 103388687. The next prime is 103388729. The reversal of 103388688 is 886883301.

It can be written as a sum of positive squares in 2 ways, for example, as 70761744 + 32626944 = 8412^2 + 5712^2 .

It is a super-2 number, since 2×103388688² = 21378441612722688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103388687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25743 + ... + 29486.

It is an arithmetic number, because the mean of its divisors is an integer number (5193461).

Almost surely, 2^103388688 is an apocalyptic number.

103388688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103388688 is an abundant number, since it is smaller than the sum of its proper divisors (208218972).

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

103388688 is a wasteful number, since it uses less digits than its factorization.

103388688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55256 (or 55247 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 103388688 is about 10168.0228166542. The cubic root of 103388688 is about 469.3437165905.

The spelling of 103388688 in words is "one hundred three million, three hundred eighty-eight thousand, six hundred eighty-eight".