107189489880 has 384 divisors, whose sum is σ = 402914304000. Its totient is φ = 24466406400.

The previous prime is 107189489873. The next prime is 107189489893. The reversal of 107189489880 is 88984981701.

107189489880 is a `hidden beast` number, since 1 + 0 + 71 + 8 + 9 + 489 + 8 + 80 = 666.

It is a super-2 number, since 2×107189489880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4530321 + ... + 4553919.

It is an arithmetic number, because the mean of its divisors is an integer number (1049256000).

Almost surely, 2^107189489880 is an apocalyptic number.

107189489880 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 107189489880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201457152000).

107189489880 is an abundant number, since it is smaller than the sum of its proper divisors (295724814120).

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

107189489880 is a wasteful number, since it uses less digits than its factorization.

107189489880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23695 (or 23688 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 63.

The spelling of 107189489880 in words is "one hundred seven billion, one hundred eighty-nine million, four hundred eighty-nine thousand, eight hundred eighty".