105343853785272 has 96 divisors (see below), whose sum is σ = 296315204140800. Its totient is φ = 33784998361152.

The previous prime is 105343853785267. The next prime is 105343853785301. The reversal of 105343853785272 is 272587358343501.

105343853785272 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 4 + 38 + 5 + 3 + 78 + 527 + 2 = 666.

It is a super-2 number, since 2×105343853785272² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 263613738 + ... + 264013049.

It is an arithmetic number, because the mean of its divisors is an integer number (3086616709800).

Almost surely, 2^{105343853785272} is an apocalyptic number.

105343853785272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105343853785272 is an abundant number, since it is smaller than the sum of its proper divisors (190971350355528).

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

105343853785272 is a wasteful number, since it uses less digits than its factorization.

105343853785272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527626905 (or 527626898 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 105343853785272 in words is "one hundred five trillion, three hundred forty-three billion, eight hundred fifty-three million, seven hundred eighty-five thousand, two hundred seventy-two".