107461120 has 80 divisors (see below), whose sum is σ = 277560360. Its totient is φ = 39665664.

The previous prime is 107461117. The next prime is 107461121. The reversal of 107461120 is 21164701.

It can be written as a sum of positive squares in 4 ways, for example, as 56310016 + 51151104 = 7504^2 + 7152^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 107461091 and 107461100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107461121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31666 + ... + 34894.

Almost surely, 2^107461120 is an apocalyptic number.

107461120 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 107461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138780180).

107461120 is an abundant number, since it is smaller than the sum of its proper divisors (170099240).

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

107461120 is an equidigital number, since it uses as much as digits as its factorization.

107461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3249 counting only the distinct ones).

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

The square root of 107461120 is about 10366.3455470093. The cubic root of 107461120 is about 475.4269402417.

The spelling of 107461120 in words is "one hundred seven million, four hundred sixty-one thousand, one hundred twenty".