107241120 has 144 divisors (see below), whose sum is σ = 418279680. Its totient is φ = 24509952.

The previous prime is 107241119. The next prime is 107241139. The reversal of 107241120 is 21142701.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 107241093 and 107241102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4761 + ... + 15399.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2^107241120 is an apocalyptic number.

107241120 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 107241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

107241120 is an abundant number, since it is smaller than the sum of its proper divisors (311038560).

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

107241120 is a wasteful number, since it uses less digits than its factorization.

107241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10667 (or 10656 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 107241120 is about 10355.7288492892. The cubic root of 107241120 is about 475.1022789910.

Adding to 107241120 its reverse (21142701), we get a palindrome (128383821).

The spelling of 107241120 in words is "one hundred seven million, two hundred forty-one thousand, one hundred twenty".