107865680 has 80 divisors (see below), whose sum is σ = 286012944. Its totient is φ = 37478400.

The previous prime is 107865671. The next prime is 107865689. The reversal of 107865680 is 86568701.

It is an interprime number because it is at equal distance from previous prime (107865671) and next prime (107865689).

It can be written as a sum of positive squares in 8 ways, for example, as 287296 + 107578384 = 536^2 + 10372^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107865689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14630 + ... + 20730.

Almost surely, 2^107865680 is an apocalyptic number.

107865680 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 107865680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143006472).

107865680 is an abundant number, since it is smaller than the sum of its proper divisors (178147264).

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

107865680 is a wasteful number, since it uses less digits than its factorization.

107865680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6144 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 107865680 is about 10385.8403607989. The cubic root of 107865680 is about 476.0228080308.

The spelling of 107865680 in words is "one hundred seven million, eight hundred sixty-five thousand, six hundred eighty".