103385688 has 128 divisors (see below), whose sum is σ = 317760000. Its totient is φ = 27941760.

The previous prime is 103385617. The next prime is 103385701. The reversal of 103385688 is 886583301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 156078 + ... + 156738.

It is an arithmetic number, because the mean of its divisors is an integer number (2482500).

Almost surely, 2^103385688 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 103385688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158880000).

103385688 is an abundant number, since it is smaller than the sum of its proper divisors (214374312).

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

103385688 is a wasteful number, since it uses less digits than its factorization.

103385688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 103385688 is about 10167.8752942785. The cubic root of 103385688 is about 469.3391769424.

The spelling of 103385688 in words is "one hundred three million, three hundred eighty-five thousand, six hundred eighty-eight".