103185216 has 84 divisors (see below), whose sum is σ = 297180000. Its totient is φ = 34230528.

The previous prime is 103185209. The next prime is 103185217. The reversal of 103185216 is 612581301.

It is a self number, because there is not a number n which added to its sum of digits gives 103185216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103185217) 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, 206535 + ... + 207033.

Almost surely, 2^103185216 is an apocalyptic number.

103185216 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 103185216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148590000).

103185216 is an abundant number, since it is smaller than the sum of its proper divisors (193994784).

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

103185216 is a wasteful number, since it uses less digits than its factorization.

103185216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 103185216 is about 10158.0124040090. The cubic root of 103185216 is about 469.0356202762.

The spelling of 103185216 in words is "one hundred three million, one hundred eighty-five thousand, two hundred sixteen".