107741104128 has 960 divisors, whose sum is σ = 394239605760. Its totient is φ = 28665446400.

The previous prime is 107741104103. The next prime is 107741104157. The reversal of 107741104128 is 821401147701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107741104092 and 107741104101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1475905500 + ... + 1475905572.

It is an arithmetic number, because the mean of its divisors is an integer number (410666256).

Almost surely, 2^107741104128 is an apocalyptic number.

107741104128 is a gapful number since it is divisible by the number (18) 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 107741104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197119802880).

107741104128 is an abundant number, since it is smaller than the sum of its proper divisors (286498501632).

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

107741104128 is an equidigital number, since it uses as much as digits as its factorization.

107741104128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 107741104128 in words is "one hundred seven billion, seven hundred forty-one million, one hundred four thousand, one hundred twenty-eight".