103613688 has 64 divisors (see below), whose sum is σ = 302976000. Its totient is φ = 32718816.

The previous prime is 103613681. The next prime is 103613701. The reversal of 103613688 is 886316301.

It is a super-3 number, since 3×103613688³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103613681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8520 + ... + 16727.

It is an arithmetic number, because the mean of its divisors is an integer number (4734000).

Almost surely, 2^103613688 is an apocalyptic number.

103613688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103613688 is an abundant number, since it is smaller than the sum of its proper divisors (199362312).

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

103613688 is a wasteful number, since it uses less digits than its factorization.

103613688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25281 (or 25271 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 103613688 is about 10179.0809015353. The cubic root of 103613688 is about 469.6839402163.

Adding to 103613688 its reverse (886316301), we get a palindrome (989929989).

The spelling of 103613688 in words is "one hundred three million, six hundred thirteen thousand, six hundred eighty-eight".