103616016 has 80 divisors (see below), whose sum is σ = 307123200. Its totient is φ = 29487744.

The previous prime is 103616011. The next prime is 103616017. The reversal of 103616016 is 610616301.

It is a super-3 number, since 3×103616016³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103616011) 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, 120195 + ... + 121053.

It is an arithmetic number, because the mean of its divisors is an integer number (3839040).

Almost surely, 2^103616016 is an apocalyptic number.

103616016 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 103616016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153561600).

103616016 is an abundant number, since it is smaller than the sum of its proper divisors (203507184).

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

103616016 is a wasteful number, since it uses less digits than its factorization.

103616016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 103616016 is about 10179.1952530640. The cubic root of 103616016 is about 469.6874578211.

The spelling of 103616016 in words is "one hundred three million, six hundred sixteen thousand, sixteen".