105293260800 has 2016 divisors, whose sum is σ = 497283171840. Its totient is φ = 21499084800.

The previous prime is 105293260789. The next prime is 105293260817. The reversal of 105293260800 is 8062392501.

105293260800 is a `hidden beast` number, since 10 + 5 + 2 + 9 + 32 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×105293260800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3396556785 + ... + 3396556815.

It is an arithmetic number, because the mean of its divisors is an integer number (246668240).

Almost surely, 2^105293260800 is an apocalyptic number.

105293260800 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 105293260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248641585920).

105293260800 is an abundant number, since it is smaller than the sum of its proper divisors (391989911040).

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

105293260800 is an equidigital number, since it uses as much as digits as its factorization.

105293260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 105293260800 in words is "one hundred five billion, two hundred ninety-three million, two hundred sixty thousand, eight hundred".