107655680 has 80 divisors (see below), whose sum is σ = 281660544. Its totient is φ = 39137280.

The previous prime is 107655677. The next prime is 107655697. The reversal of 107655680 is 86556701.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26249 + ... + 30071.

Almost surely, 2^107655680 is an apocalyptic number.

107655680 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 107655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140830272).

107655680 is an abundant number, since it is smaller than the sum of its proper divisors (174004864).

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

107655680 is an equidigital number, since it uses as much as digits as its factorization.

107655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 107655680 is about 10375.7255168012. The cubic root of 107655680 is about 475.7136898367.

The spelling of 107655680 in words is "one hundred seven million, six hundred fifty-five thousand, six hundred eighty".