103828608 has 128 divisors (see below), whose sum is σ = 330153600. Its totient is φ = 31933440.

The previous prime is 103828607. The next prime is 103828609. The reversal of 103828608 is 806828301.

103828608 is a `hidden beast` number, since 10 + 38 + 2 + 8 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (103828607) and next prime (103828609).

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 (36).

It is not an unprimeable number, because it can be changed into a prime (103828603) 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, 43773 + ... + 46083.

It is an arithmetic number, because the mean of its divisors is an integer number (2579325).

Almost surely, 2^103828608 is an apocalyptic number.

103828608 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 103828608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165076800).

103828608 is an abundant number, since it is smaller than the sum of its proper divisors (226324992).

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

103828608 is a wasteful number, since it uses less digits than its factorization.

103828608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 103828608 is about 10189.6323780596. The cubic root of 103828608 is about 470.0084621986.

It can be divided in two parts, 1038 and 28608, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 103828608 in words is "one hundred three million, eight hundred twenty-eight thousand, six hundred eight".