107305260 has 72 divisors (see below), whose sum is σ = 310626288. Its totient is φ = 27676800.

The previous prime is 107305243. The next prime is 107305301. The reversal of 107305260 is 62503701.

It is a self number, because there is not a number n which added to its sum of digits gives 107305260.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56730 + ... + 58590.

It is an arithmetic number, because the mean of its divisors is an integer number (4314254).

Almost surely, 2^107305260 is an apocalyptic number.

107305260 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 107305260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155313144).

107305260 is an abundant number, since it is smaller than the sum of its proper divisors (203321028).

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

107305260 is a wasteful number, since it uses less digits than its factorization.

107305260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 107305260 is about 10358.8252229681. The cubic root of 107305260 is about 475.1969783220.

Adding to 107305260 its reverse (62503701), we get a palindrome (169808961).

The spelling of 107305260 in words is "one hundred seven million, three hundred five thousand, two hundred sixty".