105347733052300 has 36 divisors (see below), whose sum is σ = 228605126757336. Its totient is φ = 42138992569600.

The previous prime is 105347733052297. The next prime is 105347733052321. The reversal of 105347733052300 is 3250337743501.

It is a super-2 number, since 2×105347733052300² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52058415 + ... + 54044185.

It is an arithmetic number, because the mean of its divisors is an integer number (6350142409926).

Almost surely, 2^{105347733052300} is an apocalyptic number.

105347733052300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105347733052300 is an abundant number, since it is smaller than the sum of its proper divisors (123257393705036).

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

105347733052300 is a wasteful number, since it uses less digits than its factorization.

105347733052300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516298 (or 2516291 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 43.

The spelling of 105347733052300 in words is "one hundred five trillion, three hundred forty-seven billion, seven hundred thirty-three million, fifty-two thousand, three hundred".