105794092867680 has 768 divisors, whose sum is σ = 452345596416000. Its totient is φ = 22565981306880.

The previous prime is 105794092867637. The next prime is 105794092867711. The reversal of 105794092867680 is 86768290497501.

105794092867680 is a `hidden beast` number, since 1 + 0 + 5 + 79 + 409 + 2 + 8 + 6 + 76 + 80 = 666.

105794092867680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105794092867680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 105794092867599 and 105794092867608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26661346 + ... + 30371294.

It is an arithmetic number, because the mean of its divisors is an integer number (588991662000).

Almost surely, 2^{105794092867680} is an apocalyptic number.

105794092867680 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 105794092867680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226172798208000).

105794092867680 is an abundant number, since it is smaller than the sum of its proper divisors (346551503548320).

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

105794092867680 is a wasteful number, since it uses less digits than its factorization.

105794092867680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710044 (or 3710030 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 105794092867680 in words is "one hundred five trillion, seven hundred ninety-four billion, ninety-two million, eight hundred sixty-seven thousand, six hundred eighty".