107242560 has 168 divisors, whose sum is σ = 385145280. Its totient is φ = 27337728.

The previous prime is 107242549. The next prime is 107242571. The reversal of 107242560 is 65242701.

It is an interprime number because it is at equal distance from previous prime (107242549) and next prime (107242571).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65431 + ... + 67049.

Almost surely, 2^107242560 is an apocalyptic number.

107242560 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 107242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192572640).

107242560 is an abundant number, since it is smaller than the sum of its proper divisors (277902720).

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

107242560 is a wasteful number, since it uses less digits than its factorization.

107242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 107242560 is about 10355.7983757893. The cubic root of 107242560 is about 475.1044054894.

The spelling of 107242560 in words is "one hundred seven million, two hundred forty-two thousand, five hundred sixty".