103815306 has 48 divisors (see below), whose sum is σ = 259459200. Its totient is φ = 29385504.

The previous prime is 103815293. The next prime is 103815323. The reversal of 103815306 is 603518301.

It is a self number, because there is not a number n which added to its sum of digits gives 103815306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9955 + ... + 17513.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2^103815306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103815306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129729600).

103815306 is an abundant number, since it is smaller than the sum of its proper divisors (155643894).

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

103815306 is a wasteful number, since it uses less digits than its factorization.

103815306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7683 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 103815306 is about 10188.9796348800. The cubic root of 103815306 is about 469.9883896332.

It can be divided in two parts, 103 and 815306, that added together give a square (815409 = 903²).

The spelling of 103815306 in words is "one hundred three million, eight hundred fifteen thousand, three hundred six".