105728326704 has 1200 divisors, whose sum is σ = 429119201280. Its totient is φ = 24429081600.

The previous prime is 105728326699. The next prime is 105728326723. The reversal of 105728326704 is 407623827501.

105728326704 is a `hidden beast` number, since 1 + 0 + 572 + 8 + 3 + 2 + 6 + 70 + 4 = 666.

It is a super-2 number, since 2×105728326704² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105728326704.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 442377817 + ... + 442378055.

Almost surely, 2^105728326704 is an apocalyptic number.

105728326704 is a gapful number since it is divisible by the number (14) 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 105728326704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214559600640).

105728326704 is an abundant number, since it is smaller than the sum of its proper divisors (323390874576).

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

105728326704 is a wasteful number, since it uses less digits than its factorization.

105728326704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 105728326704 in words is "one hundred five billion, seven hundred twenty-eight million, three hundred twenty-six thousand, seven hundred four".