103530816 has 168 divisors, whose sum is σ = 320360040. Its totient is φ = 31850496.

The previous prime is 103530803. The next prime is 103530821. The reversal of 103530816 is 618035301.

It can be written as a sum of positive squares in 4 ways, for example, as 34574400 + 68956416 = 5880^2 + 8304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 103530816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949770 + ... + 949878.

It is an arithmetic number, because the mean of its divisors is an integer number (1906905).

Almost surely, 2^103530816 is an apocalyptic number.

103530816 is a gapful number since it is divisible by the number (16) 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 103530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160180020).

103530816 is an abundant number, since it is smaller than the sum of its proper divisors (216829224).

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

103530816 is a wasteful number, since it uses less digits than its factorization.

103530816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 103530816 is about 10175.0093857451. The cubic root of 103530816 is about 469.5586864005.

The spelling of 103530816 in words is "one hundred three million, five hundred thirty thousand, eight hundred sixteen".