107791680 has 112 divisors (see below), whose sum is σ = 349666560. Its totient is φ = 28121088.

The previous prime is 107791661. The next prime is 107791687. The reversal of 107791680 is 86197701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107791687) 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 15 ways as a sum of consecutive naturals, for example, 43926 + ... + 46314.

Almost surely, 2^107791680 is an apocalyptic number.

107791680 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 107791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174833280).

107791680 is an abundant number, since it is smaller than the sum of its proper divisors (241874880).

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

107791680 is a wasteful number, since it uses less digits than its factorization.

107791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The square root of 107791680 is about 10382.2772068559. The cubic root of 107791680 is about 475.9139264840.

The spelling of 107791680 in words is "one hundred seven million, seven hundred ninety-one thousand, six hundred eighty".