107728694000 has 160 divisors (see below), whose sum is σ = 277476990336. Its totient is φ = 40311705600.

The previous prime is 107728693999. The next prime is 107728694011. The reversal of 107728694000 is 496827701.

107728694000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5668514 + ... + 5687486.

Almost surely, 2^107728694000 is an apocalyptic number.

107728694000 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 107728694000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138738495168).

107728694000 is an abundant number, since it is smaller than the sum of its proper divisors (169748296336).

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

107728694000 is a wasteful number, since it uses less digits than its factorization.

107728694000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19180 (or 19164 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 107728694000 in words is "one hundred seven billion, seven hundred twenty-eight million, six hundred ninety-four thousand".