103599216 has 80 divisors (see below), whose sum is σ = 339859200. Its totient is φ = 29598912.

The previous prime is 103599211. The next prime is 103599217. The reversal of 103599216 is 612995301.

It is a super-3 number, since 3×103599216³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103599211) 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, 14106 + ... + 20153.

It is an arithmetic number, because the mean of its divisors is an integer number (4248240).

Almost surely, 2^103599216 is an apocalyptic number.

103599216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103599216 is an abundant number, since it is smaller than the sum of its proper divisors (236259984).

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

103599216 is a wasteful number, since it uses less digits than its factorization.

103599216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34283 (or 34271 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 103599216 is about 10178.3700070296. The cubic root of 103599216 is about 469.6620718621.

The spelling of 103599216 in words is "one hundred three million, five hundred ninety-nine thousand, two hundred sixteen".