107807336 has 128 divisors (see below), whose sum is σ = 272885760. Its totient is φ = 38707200.

The previous prime is 107807333. The next prime is 107807363. The reversal of 107807336 is 633708701.

It is a junction number, because it is equal to n+sod(n) for n = 107807296 and 107807305.

It is not an unprimeable number, because it can be changed into a prime (107807333) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 383516 + ... + 383796.

It is an arithmetic number, because the mean of its divisors is an integer number (2131920).

Almost surely, 2^107807336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107807336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136442880).

107807336 is an abundant number, since it is smaller than the sum of its proper divisors (165078424).

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

107807336 is a wasteful number, since it uses less digits than its factorization.

107807336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

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

The square root of 107807336 is about 10383.0311566517. The cubic root of 107807336 is about 475.9369664432.

The spelling of 107807336 in words is "one hundred seven million, eight hundred seven thousand, three hundred thirty-six".