105794799840 has 960 divisors, whose sum is σ = 421521408000. Its totient is φ = 24831442944.

The previous prime is 105794799793. The next prime is 105794799853. The reversal of 105794799840 is 48997497501.

105794799840 is a `hidden beast` number, since 1 + 0 + 5 + 79 + 479 + 98 + 4 + 0 = 666.

It is a super-2 number, since 2×105794799840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 531632061 + ... + 531632259.

It is an arithmetic number, because the mean of its divisors is an integer number (439084800).

Almost surely, 2^105794799840 is an apocalyptic number.

105794799840 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 105794799840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210760704000).

105794799840 is an abundant number, since it is smaller than the sum of its proper divisors (315726608160).

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

105794799840 is a wasteful number, since it uses less digits than its factorization.

105794799840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 105794799840 in words is "one hundred five billion, seven hundred ninety-four million, seven hundred ninety-nine thousand, eight hundred forty".