107380736 has 64 divisors (see below), whose sum is σ = 224129700. Its totient is φ = 51380224.

The previous prime is 107380729. The next prime is 107380739. The reversal of 107380736 is 637083701.

It can be written as a sum of positive squares in 2 ways, for example, as 97140736 + 10240000 = 9856^2 + 3200^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 107380696 and 107380705.

It is not an unprimeable number, because it can be changed into a prime (107380739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 950216 + ... + 950328.

Almost surely, 2^107380736 is an apocalyptic number.

107380736 is a gapful number since it is divisible by the number (16) 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 107380736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112064850).

107380736 is an abundant number, since it is smaller than the sum of its proper divisors (116748964).

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

107380736 is an frugal number, since it uses more digits than its factorization.

107380736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 107380736 is about 10362.4676597807. The cubic root of 107380736 is about 475.3083663420.

The spelling of 107380736 in words is "one hundred seven million, three hundred eighty thousand, seven hundred thirty-six".