107855616 has 144 divisors (see below), whose sum is σ = 332011008. Its totient is φ = 30720000.

The previous prime is 107855597. The next prime is 107855617. The reversal of 107855616 is 616558701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107855617) 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, 143241 + ... + 143991.

It is an arithmetic number, because the mean of its divisors is an integer number (2305632).

Almost surely, 2^107855616 is an apocalyptic number.

107855616 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 107855616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166005504).

107855616 is an abundant number, since it is smaller than the sum of its proper divisors (224155392).

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

107855616 is a wasteful number, since it uses less digits than its factorization.

107855616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 107855616 is about 10385.3558436868. The cubic root of 107855616 is about 476.0080030667.

The spelling of 107855616 in words is "one hundred seven million, eight hundred fifty-five thousand, six hundred sixteen".