107241540 has 192 divisors, whose sum is σ = 361181184. Its totient is φ = 23265792.

The previous prime is 107241523. The next prime is 107241569. The reversal of 107241540 is 45142701.

It is a self number, because there is not a number n which added to its sum of digits gives 107241540.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1041129 + ... + 1041231.

It is an arithmetic number, because the mean of its divisors is an integer number (1881152).

Almost surely, 2^107241540 is an apocalyptic number.

107241540 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 107241540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180590592).

107241540 is an abundant number, since it is smaller than the sum of its proper divisors (253939644).

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

107241540 is a wasteful number, since it uses less digits than its factorization.

107241540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 107241540 is about 10355.7491278999. The cubic root of 107241540 is about 475.1028992217.

The spelling of 107241540 in words is "one hundred seven million, two hundred forty-one thousand, five hundred forty".