103005408 has 96 divisors (see below), whose sum is σ = 307867392. Its totient is φ = 29849600.

The previous prime is 103005391. The next prime is 103005437. The reversal of 103005408 is 804500301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×103005408² = 21220228154492928, which contains 22 as substring.

It is a congruent number.

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, 22168 + ... + 26408.

It is an arithmetic number, because the mean of its divisors is an integer number (3206952).

Almost surely, 2^103005408 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 103005408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153933696).

103005408 is an abundant number, since it is smaller than the sum of its proper divisors (204861984).

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

103005408 is a wasteful number, since it uses less digits than its factorization.

103005408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 103005408 is about 10149.1579946319. The cubic root of 103005408 is about 468.7630185895.

Adding to 103005408 its reverse (804500301), we get a palindrome (907505709).

The spelling of 103005408 in words is "one hundred three million, five thousand, four hundred eight".