103538816 has 32 divisors (see below), whose sum is σ = 213389100. Its totient is φ = 49982464.

The previous prime is 103538779. The next prime is 103538819. The reversal of 103538816 is 618835301.

It can be written as a sum of positive squares in 2 ways, for example, as 88360000 + 15178816 = 9400^2 + 3896^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (103538819) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10235 + ... + 17658.

Almost surely, 2^103538816 is an apocalyptic number.

103538816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103538816 is an abundant number, since it is smaller than the sum of its proper divisors (109850284).

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

103538816 is an equidigital number, since it uses as much as digits as its factorization.

103538816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27936 (or 27924 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 103538816 is about 10175.4024981816. The cubic root of 103538816 is about 469.5707806184.

The spelling of 103538816 in words is "one hundred three million, five hundred thirty-eight thousand, eight hundred sixteen".