107785216 has 88 divisors (see below), whose sum is σ = 268828416. Its totient is φ = 41963520.

The previous prime is 107785213. The next prime is 107785229. The reversal of 107785216 is 612587701.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107785213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78165 + ... + 79531.

Almost surely, 2^107785216 is an apocalyptic number.

107785216 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 107785216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134414208).

107785216 is an abundant number, since it is smaller than the sum of its proper divisors (161043200).

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

107785216 is a wasteful number, since it uses less digits than its factorization.

107785216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 107785216 is about 10381.9659024676. The cubic root of 107785216 is about 475.9044131674.

The spelling of 107785216 in words is "one hundred seven million, seven hundred eighty-five thousand, two hundred sixteen".