107888640 has 120 divisors (see below), whose sum is σ = 346019520. Its totient is φ = 28704768.

The previous prime is 107888621. The next prime is 107888657. The reversal of 107888640 is 46888701.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 107888592 and 107888601.

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, 245541 + ... + 245979.

It is an arithmetic number, because the mean of its divisors is an integer number (2883496).

Almost surely, 2^107888640 is an apocalyptic number.

107888640 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 107888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173009760).

107888640 is an abundant number, since it is smaller than the sum of its proper divisors (238130880).

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

107888640 is an frugal number, since it uses more digits than its factorization.

107888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 107888640 is about 10386.9456530782. The cubic root of 107888640 is about 476.0565806150.

The spelling of 107888640 in words is "one hundred seven million, eight hundred eighty-eight thousand, six hundred forty".