107030112 has 144 divisors (see below), whose sum is σ = 333072432. Its totient is φ = 29998080.

The previous prime is 107030111. The next prime is 107030137. The reversal of 107030112 is 211030701.

It is a super-4 number, since 4×107030112⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 107030091 and 107030100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107030111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286758 + ... + 287130.

It is an arithmetic number, because the mean of its divisors is an integer number (2313003).

Almost surely, 2^107030112 is an apocalyptic number.

107030112 is a gapful number since it is divisible by the number (12) 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 107030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166536216).

107030112 is an abundant number, since it is smaller than the sum of its proper divisors (226042320).

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

107030112 is a wasteful number, since it uses less digits than its factorization.

107030112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 107030112 is about 10345.5358488577. The cubic root of 107030112 is about 474.7904700982.

Adding to 107030112 its reverse (211030701), we get a palindrome (318060813).

The spelling of 107030112 in words is "one hundred seven million, thirty thousand, one hundred twelve".