105797306880 has 240 divisors, whose sum is σ = 372417429384. Its totient is φ = 27749744640.

The previous prime is 105797306843. The next prime is 105797306891. The reversal of 105797306880 is 88603797501.

105797306880 is a `hidden beast` number, since 1 + 0 + 579 + 7 + 3 + 0 + 68 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74883227904 + 30914078976 = 273648^2 + 175824^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105797306880² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1367802 + ... + 1443078.

Almost surely, 2^105797306880 is an apocalyptic number.

105797306880 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 105797306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186208714692).

105797306880 is an abundant number, since it is smaller than the sum of its proper divisors (266620122504).

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

105797306880 is an equidigital number, since it uses as much as digits as its factorization.

105797306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75367 (or 75348 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 105797306880 in words is "one hundred five billion, seven hundred ninety-seven million, three hundred six thousand, eight hundred eighty".