103528203408 has 400 divisors, whose sum is σ = 351223234560. Its totient is φ = 28830235392.

The previous prime is 103528203403. The next prime is 103528203413. The reversal of 103528203408 is 804302825301.

103528203408 is a `hidden beast` number, since 1 + 0 + 35 + 282 + 0 + 340 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (103528203403) and next prime (103528203413).

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 (103528203403) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67975735 + ... + 67977257.

Almost surely, 2^103528203408 is an apocalyptic number.

103528203408 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 103528203408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175611617280).

103528203408 is an abundant number, since it is smaller than the sum of its proper divisors (247695031152).

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

103528203408 is a wasteful number, since it uses less digits than its factorization.

103528203408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1721 counting only the distinct ones).

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

It can be divided in two parts, 103528 and 203408, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 103528203408 in words is "one hundred three billion, five hundred twenty-eight million, two hundred three thousand, four hundred eight".