107641144 has 64 divisors (see below), whose sum is σ = 232696800. Its totient is φ = 46239744.

The previous prime is 107641141. The next prime is 107641159. The reversal of 107641144 is 441146701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107641141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188892 + ... + 189460.

Almost surely, 2^107641144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107641144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116348400).

107641144 is an abundant number, since it is smaller than the sum of its proper divisors (125055656).

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

107641144 is a wasteful number, since it uses less digits than its factorization.

107641144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 107641144 is about 10375.0250120180. The cubic root of 107641144 is about 475.6922780993.

Adding to 107641144 its reverse (441146701), we get a palindrome (548787845).

The spelling of 107641144 in words is "one hundred seven million, six hundred forty-one thousand, one hundred forty-four".