103607816 has 48 divisors (see below), whose sum is σ = 211968900. Its totient is φ = 47453952.

The previous prime is 103607813. The next prime is 103607831. The reversal of 103607816 is 618706301.

103607816 = 54² + 55² + ... + 677².

It can be written as a sum of positive squares in 6 ways, for example, as 30846916 + 72760900 = 5554^2 + 8530^2 .

It is a super-3 number, since 3×103607816³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103607813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266150 + ... + 266538.

Almost surely, 2^103607816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103607816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105984450).

103607816 is an abundant number, since it is smaller than the sum of its proper divisors (108361084).

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

103607816 is a wasteful number, since it uses less digits than its factorization.

103607816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 103607816 is about 10178.7924627630. The cubic root of 103607816 is about 469.6750673983.

The spelling of 103607816 in words is "one hundred three million, six hundred seven thousand, eight hundred sixteen".