105795268800 has 168 divisors, whose sum is σ = 373796606736. Its totient is φ = 26041896960.

The previous prime is 105795268771. The next prime is 105795268807. The reversal of 105795268800 is 8862597501.

It is a super-2 number, since 2×105795268800² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105795268807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785319 + ... + 910118.

It is an arithmetic number, because the mean of its divisors is an integer number (2224979802).

Almost surely, 2^105795268800 is an apocalyptic number.

105795268800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105795268800 is an abundant number, since it is smaller than the sum of its proper divisors (268001337936).

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

105795268800 is a wasteful number, since it uses less digits than its factorization.

105795268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695475 (or 1695460 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 105795268800 in words is "one hundred five billion, seven hundred ninety-five million, two hundred sixty-eight thousand, eight hundred".