107935680 has 112 divisors (see below), whose sum is σ = 354604320. Its totient is φ = 27783168.

The previous prime is 107935591. The next prime is 107935687. The reversal of 107935680 is 86539701.

It is a super-2 number, since 2×107935680² = 23300222034124800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107935687) 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, 25902 + ... + 29778.

It is an arithmetic number, because the mean of its divisors is an integer number (3166110).

Almost surely, 2^107935680 is an apocalyptic number.

107935680 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 107935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177302160).

107935680 is an abundant number, since it is smaller than the sum of its proper divisors (246668640).

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

107935680 is a wasteful number, since it uses less digits than its factorization.

107935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 107935680 is about 10389.2097870820. The cubic root of 107935680 is about 476.1257582651.

The spelling of 107935680 in words is "one hundred seven million, nine hundred thirty-five thousand, six hundred eighty".