107411216 has 60 divisors (see below), whose sum is σ = 231300300. Its totient is φ = 48280320.

The previous prime is 107411197. The next prime is 107411233. The reversal of 107411216 is 612114701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81360400 + 26050816 = 9020^2 + 5104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 107411191 and 107411200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210770 + ... + 211278.

It is an arithmetic number, because the mean of its divisors is an integer number (3855005).

Almost surely, 2^107411216 is an apocalyptic number.

107411216 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 107411216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115650150).

107411216 is an abundant number, since it is smaller than the sum of its proper divisors (123889084).

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

107411216 is a wasteful number, since it uses less digits than its factorization.

107411216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 107411216 is about 10363.9382475968. The cubic root of 107411216 is about 475.3533341485.

Adding to 107411216 its reverse (612114701), we get a palindrome (719525917).

The spelling of 107411216 in words is "one hundred seven million, four hundred eleven thousand, two hundred sixteen".