103315312 has 60 divisors (see below), whose sum is σ = 218456256. Its totient is φ = 47278080.

The previous prime is 103315291. The next prime is 103315319. The reversal of 103315312 is 213513301.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 103315312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103315319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178768 + ... + 179344.

Almost surely, 2^103315312 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 103315312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109228128).

103315312 is an abundant number, since it is smaller than the sum of its proper divisors (115140944).

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

103315312 is a wasteful number, since it uses less digits than its factorization.

103315312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 103315312 is about 10164.4140018006. The cubic root of 103315312 is about 469.2326576485.

Adding to 103315312 its reverse (213513301), we get a palindrome (316828613).

The spelling of 103315312 in words is "one hundred three million, three hundred fifteen thousand, three hundred twelve".