103311616 has 36 divisors (see below), whose sum is σ = 206991792. Its totient is φ = 51462656.

The previous prime is 103311599. The next prime is 103311619. The reversal of 103311616 is 616113301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103311619) 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, 88251 + ... + 89413.

It is an arithmetic number, because the mean of its divisors is an integer number (5749772).

Almost surely, 2^103311616 is an apocalyptic number.

103311616 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 103311616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103495896).

103311616 is an abundant number, since it is smaller than the sum of its proper divisors (103680176).

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

103311616 is an equidigital number, since it uses as much as digits as its factorization.

103311616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 103311616 is about 10164.2321893983. The cubic root of 103311616 is about 469.2270621418.

Adding to 103311616 its reverse (616113301), we get a palindrome (719424917).

The spelling of 103311616 in words is "one hundred three million, three hundred eleven thousand, six hundred sixteen".