107038120 has 128 divisors (see below), whose sum is σ = 295488000. Its totient is φ = 34062336.

The previous prime is 107038117. The next prime is 107038147. The reversal of 107038120 is 21830701.

It is a super-2 number, since 2×107038120² = 22914318266268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107038091 and 107038100.

It is an unprimeable number.

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, 537781 + ... + 537979.

It is an arithmetic number, because the mean of its divisors is an integer number (2308500).

Almost surely, 2^107038120 is an apocalyptic number.

107038120 is a gapful number since it is divisible by the number (10) 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 107038120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147744000).

107038120 is an abundant number, since it is smaller than the sum of its proper divisors (188449880).

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

107038120 is a wasteful number, since it uses less digits than its factorization.

107038120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 107038120 is about 10345.9228684540. The cubic root of 107038120 is about 474.8023110876.

Adding to 107038120 its reverse (21830701), we get a palindrome (128868821).

The spelling of 107038120 in words is "one hundred seven million, thirty-eight thousand, one hundred twenty".