107295216 has 80 divisors (see below), whose sum is σ = 327026688. Its totient is φ = 29664000.

The previous prime is 107295197. The next prime is 107295233. The reversal of 107295216 is 612592701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5266 + ... + 15566.

Almost surely, 2^107295216 is an apocalyptic number.

107295216 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 107295216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163513344).

107295216 is an abundant number, since it is smaller than the sum of its proper divisors (219731472).

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

107295216 is a wasteful number, since it uses less digits than its factorization.

107295216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10350 (or 10344 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 107295216 is about 10358.3404076136. The cubic root of 107295216 is about 475.1821513776.

The spelling of 107295216 in words is "one hundred seven million, two hundred ninety-five thousand, two hundred sixteen".