103408305408 has 216 divisors, whose sum is σ = 304547803560. Its totient is φ = 33737932800.

The previous prime is 103408305383. The next prime is 103408305419. The reversal of 103408305408 is 804503804301.

103408305408 is a `hidden beast` number, since 1 + 0 + 34 + 0 + 83 + 0 + 540 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18964594944 + 84443710464 = 137712^2 + 290592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 20708160 + ... + 20713152.

It is an arithmetic number, because the mean of its divisors is an integer number (1409943535).

Almost surely, 2^103408305408 is an apocalyptic number.

103408305408 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 103408305408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152273901780).

103408305408 is an abundant number, since it is smaller than the sum of its proper divisors (201139498152).

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

103408305408 is a wasteful number, since it uses less digits than its factorization.

103408305408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 103408305408 in words is "one hundred three billion, four hundred eight million, three hundred five thousand, four hundred eight".