107890880 has 56 divisors (see below), whose sum is σ = 258165600. Its totient is φ = 42946560.

The previous prime is 107890877. The next prime is 107890889. The reversal of 107890880 is 88098701.

It is not an unprimeable number, because it can be changed into a prime (107890889) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 76421 + ... + 77819.

It is an arithmetic number, because the mean of its divisors is an integer number (4610100).

Almost surely, 2^107890880 is an apocalyptic number.

107890880 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 107890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129082800).

107890880 is an abundant number, since it is smaller than the sum of its proper divisors (150274720).

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

107890880 is a wasteful number, since it uses less digits than its factorization.

107890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 41.

The square root of 107890880 is about 10387.0534801743. The cubic root of 107890880 is about 476.0598752447.

The spelling of 107890880 in words is "one hundred seven million, eight hundred ninety thousand, eight hundred eighty".