107133985728 has 504 divisors, whose sum is σ = 396148310064. Its totient is φ = 27365990400.

The previous prime is 107133985723. The next prime is 107133985729. The reversal of 107133985728 is 827589331701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×107133985728² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107133985723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18935476 + ... + 18941132.

Almost surely, 2^107133985728 is an apocalyptic number.

107133985728 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 107133985728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198074155032).

107133985728 is an abundant number, since it is smaller than the sum of its proper divisors (289014324336).

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

107133985728 is a wasteful number, since it uses less digits than its factorization.

107133985728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 107133985728 in words is "one hundred seven billion, one hundred thirty-three million, nine hundred eighty-five thousand, seven hundred twenty-eight".