107241440 has 96 divisors (see below), whose sum is σ = 271887840. Its totient is φ = 39829504.

The previous prime is 107241439. The next prime is 107241443. The reversal of 107241440 is 44142701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107241443) 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, 241859 + ... + 242301.

It is an arithmetic number, because the mean of its divisors is an integer number (2832165).

Almost surely, 2^107241440 is an apocalyptic number.

107241440 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 107241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135943920).

107241440 is an abundant number, since it is smaller than the sum of its proper divisors (164646400).

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

107241440 is a wasteful number, since it uses less digits than its factorization.

107241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 107241440 is about 10355.7442996629. The cubic root of 107241440 is about 475.1027515478.

The spelling of 107241440 in words is "one hundred seven million, two hundred forty-one thousand, four hundred forty".