107671120128 has 540 divisors, whose sum is σ = 380157021244. Its totient is φ = 30108672000.

The previous prime is 107671120111. The next prime is 107671120129. The reversal of 107671120128 is 821021176701.

It can be written as a sum of positive squares in 2 ways, for example, as 18991044864 + 88680075264 = 137808^2 + 297792^2 .

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 = 107671120092 and 107671120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107671120129) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32616078 + ... + 32619378.

Almost surely, 2^107671120128 is an apocalyptic number.

107671120128 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 107671120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190078510622).

107671120128 is an abundant number, since it is smaller than the sum of its proper divisors (272485901116).

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

107671120128 is a wasteful number, since it uses less digits than its factorization.

107671120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

Adding to 107671120128 its reverse (821021176701), we get a palindrome (928692296829).

The spelling of 107671120128 in words is "one hundred seven billion, six hundred seventy-one million, one hundred twenty thousand, one hundred twenty-eight".