107242240 has 72 divisors (see below), whose sum is σ = 293600160. Its totient is φ = 36765696.

The previous prime is 107242217. The next prime is 107242259. The reversal of 107242240 is 42242701.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2976 + ... + 14944.

It is an arithmetic number, because the mean of its divisors is an integer number (4077780).

Almost surely, 2^107242240 is an apocalyptic number.

107242240 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 107242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146800080).

107242240 is an abundant number, since it is smaller than the sum of its proper divisors (186357920).

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

107242240 is an equidigital number, since it uses as much as digits as its factorization.

107242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11997 (or 11983 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 107242240 is about 10355.7829254963. The cubic root of 107242240 is about 475.1039329358.

Adding to 107242240 its reverse (42242701), we get a palindrome (149484941).

The spelling of 107242240 in words is "one hundred seven million, two hundred forty-two thousand, two hundred forty".