103415312 has 120 divisors (see below), whose sum is σ = 271524288. Its totient is φ = 37128960.

The previous prime is 103415297. The next prime is 103415317. The reversal of 103415312 is 213514301.

It is not an unprimeable number, because it can be changed into a prime (103415317) 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 23 ways as a sum of consecutive naturals, for example, 175883 + ... + 176469.

Almost surely, 2^103415312 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 103415312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135762144).

103415312 is an abundant number, since it is smaller than the sum of its proper divisors (168108976).

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

103415312 is a wasteful number, since it uses less digits than its factorization.

103415312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 103415312 is about 10169.3319347930. The cubic root of 103415312 is about 469.3840006064.

Adding to 103415312 its reverse (213514301), we get a palindrome (316929613).

The spelling of 103415312 in words is "one hundred three million, four hundred fifteen thousand, three hundred twelve".