107288880 has 80 divisors (see below), whose sum is σ = 333713760. Its totient is φ = 28514304.

The previous prime is 107288879. The next prime is 107288897. The reversal of 107288880 is 88882701.

It is a happy number.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 97614 + ... + 98706.

It is an arithmetic number, because the mean of its divisors is an integer number (4171422).

Almost surely, 2^107288880 is an apocalyptic number.

107288880 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 107288880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166856880).

107288880 is an abundant number, since it is smaller than the sum of its proper divisors (226424880).

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

107288880 is a wasteful number, since it uses less digits than its factorization.

107288880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The square root of 107288880 is about 10358.0345625992. The cubic root of 107288880 is about 475.1727977037.

The spelling of 107288880 in words is "one hundred seven million, two hundred eighty-eight thousand, eight hundred eighty".