103381408 has 48 divisors (see below), whose sum is σ = 220559976. Its totient is φ = 47416320.

The previous prime is 103381387. The next prime is 103381423. The reversal of 103381408 is 804183301.

It can be written as a sum of positive squares in 4 ways, for example, as 71436304 + 31945104 = 8452^2 + 5652^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74610 + ... + 75982.

Almost surely, 2^103381408 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 103381408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110279988).

103381408 is an abundant number, since it is smaller than the sum of its proper divisors (117178568).

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

103381408 is a wasteful number, since it uses less digits than its factorization.

103381408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 103381408 is about 10167.6648253176. The cubic root of 103381408 is about 469.3327002258.

The spelling of 103381408 in words is "one hundred three million, three hundred eighty-one thousand, four hundred eight".