107327936 has 56 divisors (see below), whose sum is σ = 235366560. Its totient is φ = 48300032.

The previous prime is 107327929. The next prime is 107327939. The reversal of 107327936 is 639723701.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 107327936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107327939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22880 + ... + 27168.

Almost surely, 2^107327936 is an apocalyptic number.

107327936 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 107327936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117683280).

107327936 is an abundant number, since it is smaller than the sum of its proper divisors (128038624).

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

107327936 is a wasteful number, since it uses less digits than its factorization.

107327936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 38.

The square root of 107327936 is about 10359.9196908084. The cubic root of 107327936 is about 475.2304492122.

The spelling of 107327936 in words is "one hundred seven million, three hundred twenty-seven thousand, nine hundred thirty-six".