107173705728 has 192 divisors, whose sum is σ = 299321568000. Its totient is φ = 34037104640.

The previous prime is 107173705687. The next prime is 107173705741. The reversal of 107173705728 is 827507371701.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×107173705728² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39707323 + ... + 39710021.

It is an arithmetic number, because the mean of its divisors is an integer number (1558966500).

Almost surely, 2^107173705728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107173705728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149660784000).

107173705728 is an abundant number, since it is smaller than the sum of its proper divisors (192147862272).

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

107173705728 is a wasteful number, since it uses less digits than its factorization.

107173705728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 48.

The spelling of 107173705728 in words is "one hundred seven billion, one hundred seventy-three million, seven hundred five thousand, seven hundred twenty-eight".