105320354343200 has 36 divisors (see below), whose sum is σ = 257113315042290. Its totient is φ = 42128141736960.

The previous prime is 105320354343199. The next prime is 105320354343223. The reversal of 105320354343200 is 2343453023501.

It can be written as a sum of positive squares in 3 ways, for example, as 102428082696976 + 2892271646224 = 10120676^2 + 1700668^2 .

It is a super-3 number, since 3×105320354343200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65825220665 + ... + 65825222264.

Almost surely, 2^{105320354343200} is an apocalyptic number.

105320354343200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105320354343200 is an abundant number, since it is smaller than the sum of its proper divisors (151792960699090).

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

105320354343200 is a wasteful number, since it uses less digits than its factorization.

105320354343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131650442949 (or 131650442936 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

The spelling of 105320354343200 in words is "one hundred five trillion, three hundred twenty billion, three hundred fifty-four million, three hundred forty-three thousand, two hundred".