103083408 has 80 divisors (see below), whose sum is σ = 302242560. Its totient is φ = 33623424.

The previous prime is 103083403. The next prime is 103083419. The reversal of 103083408 is 804380301.

103083408 = 2³ + 3³ + ... + 142³.

103083408 is a `hidden beast` number, since 10 + 308 + 340 + 8 = 666.

It is a Cunningham number, because it is equal to 10153²-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103083403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17766 + ... + 22842.

It is an arithmetic number, because the mean of its divisors is an integer number (3778032).

Almost surely, 2^103083408 is an apocalyptic number.

103083408 is a gapful number since it is divisible by the number (18) 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 103083408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151121280).

103083408 is an abundant number, since it is smaller than the sum of its proper divisors (199159152).

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

103083408 is a wasteful number, since it uses less digits than its factorization.

103083408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 103083408 is about 10152.9999507535. Note that the first 4 decimals coincide. The cubic root of 103083408 is about 468.8813110524.

The spelling of 103083408 in words is "one hundred three million, eighty-three thousand, four hundred eight".