107505216 has 252 divisors, whose sum is σ = 387344412. Its totient is φ = 28256256.

The previous prime is 107505199. The next prime is 107505221. The reversal of 107505216 is 612505701.

It can be written as a sum of positive squares in 2 ways, for example, as 62346816 + 45158400 = 7896^2 + 6720^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 107505216.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 366766 + ... + 367058.

It is an arithmetic number, because the mean of its divisors is an integer number (1537081).

Almost surely, 2^107505216 is an apocalyptic number.

107505216 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 107505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193672206).

107505216 is an abundant number, since it is smaller than the sum of its proper divisors (279839196).

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

107505216 is a wasteful number, since it uses less digits than its factorization.

107505216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 107505216 is about 10368.4722114688. The cubic root of 107505216 is about 475.4919608416.

The spelling of 107505216 in words is "one hundred seven million, five hundred five thousand, two hundred sixteen".