107783808 has 256 divisors, whose sum is σ = 352512000. Its totient is φ = 28753920.

The previous prime is 107783801. The next prime is 107783839. The reversal of 107783808 is 808387701.

It is a self number, because there is not a number n which added to its sum of digits gives 107783808.

It is not an unprimeable number, because it can be changed into a prime (107783801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364313 + ... + 1364391.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 2^107783808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107783808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

107783808 is an abundant number, since it is smaller than the sum of its proper divisors (244728192).

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

107783808 is a wasteful number, since it uses less digits than its factorization.

107783808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 107783808 is about 10381.8980923529. The cubic root of 107783808 is about 475.9023409094.

The spelling of 107783808 in words is "one hundred seven million, seven hundred eighty-three thousand, eight hundred eight".