107121120 has 192 divisors, whose sum is σ = 364621824. Its totient is φ = 26357760.

The previous prime is 107121083. The next prime is 107121139. The reversal of 107121120 is 21121701.

It is a super-2 number, since 2×107121120² = 22949868700108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 107121120.

It is a congruent number.

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, 342084 + ... + 342396.

It is an arithmetic number, because the mean of its divisors is an integer number (1899072).

Almost surely, 2^107121120 is an apocalyptic number.

107121120 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 107121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182310912).

107121120 is an abundant number, since it is smaller than the sum of its proper divisors (257500704).

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

107121120 is a wasteful number, since it uses less digits than its factorization.

107121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 107121120 is about 10349.9333331186. The cubic root of 107121120 is about 474.9250038569.

Adding to 107121120 its reverse (21121701), we get a palindrome (128242821).

The spelling of 107121120 in words is "one hundred seven million, one hundred twenty-one thousand, one hundred twenty".