107830112 has 72 divisors (see below), whose sum is σ = 233162496. Its totient is φ = 49061376.

The previous prime is 107830109. The next prime is 107830159. The reversal of 107830112 is 211038701.

It is a happy number.

It is a congruent number.

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, 686738 + ... + 686894.

It is an arithmetic number, because the mean of its divisors is an integer number (3238368).

Almost surely, 2^107830112 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 107830112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116581248).

107830112 is an abundant number, since it is smaller than the sum of its proper divisors (125332384).

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

107830112 is a wasteful number, since it uses less digits than its factorization.

107830112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

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

The square root of 107830112 is about 10384.1278882726. The cubic root of 107830112 is about 475.9704804799.

Adding to 107830112 its reverse (211038701), we get a palindrome (318868813).

The spelling of 107830112 in words is "one hundred seven million, eight hundred thirty thousand, one hundred twelve".