107345300 has 36 divisors (see below), whose sum is σ = 234164700. Its totient is φ = 42712320.

The previous prime is 107345267. The next prime is 107345309. The reversal of 107345300 is 3543701.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 264196 + 107081104 = 514^2 + 10348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107345309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16976 + ... + 22424.

It is an arithmetic number, because the mean of its divisors is an integer number (6504575).

Almost surely, 2^107345300 is an apocalyptic number.

107345300 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 107345300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117082350).

107345300 is an abundant number, since it is smaller than the sum of its proper divisors (126819400).

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

107345300 is a wasteful number, since it uses less digits than its factorization.

107345300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660 (or 5653 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 107345300 is about 10360.7576943002. The cubic root of 107345300 is about 475.2560761423.

The spelling of 107345300 in words is "one hundred seven million, three hundred forty-five thousand, three hundred".