103415424 has 128 divisors (see below), whose sum is σ = 318566400. Its totient is φ = 29113344.

The previous prime is 103415413. The next prime is 103415441. The reversal of 103415424 is 424514301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 103415394 and 103415403.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 212109 + ... + 212595.

It is an arithmetic number, because the mean of its divisors is an integer number (2488800).

Almost surely, 2^103415424 is an apocalyptic number.

103415424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103415424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159283200).

103415424 is an abundant number, since it is smaller than the sum of its proper divisors (215150976).

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

103415424 is an equidigital number, since it uses as much as digits as its factorization.

103415424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 103415424 is about 10169.3374415446. The cubic root of 103415424 is about 469.3841700558.

Adding to 103415424 its reverse (424514301), we get a palindrome (527929725).

The spelling of 103415424 in words is "one hundred three million, four hundred fifteen thousand, four hundred twenty-four".