107247360 has 144 divisors (see below), whose sum is σ = 373806720. Its totient is φ = 25989120.

The previous prime is 107247353. The next prime is 107247379. The reversal of 107247360 is 63742701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40971 + ... + 43509.

It is an arithmetic number, because the mean of its divisors is an integer number (2595880).

Almost surely, 2^107247360 is an apocalyptic number.

107247360 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 107247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186903360).

107247360 is an abundant number, since it is smaller than the sum of its proper divisors (266559360).

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

107247360 is a wasteful number, since it uses less digits than its factorization.

107247360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 107247360 is about 10356.0301274185. The cubic root of 107247360 is about 475.1114936800. Note that the first 3 decimals are identical.

The spelling of 107247360 in words is "one hundred seven million, two hundred forty-seven thousand, three hundred sixty".