105426820440648 has 96 divisors (see below), whose sum is σ = 343495906228800. Its totient is φ = 28536582973824.

The previous prime is 105426820440637. The next prime is 105426820440671. The reversal of 105426820440648 is 846044028624501.

105426820440648 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 26 + 8 + 204 + 406 + 4 + 8 = 666.

It is a super-3 number, since 3×105426820440648³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105426820440594 and 105426820440603.

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, 5504732511 + ... + 5504751662.

It is an arithmetic number, because the mean of its divisors is an integer number (3578082356550).

Almost surely, 2^{105426820440648} is an apocalyptic number.

105426820440648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105426820440648 is an abundant number, since it is smaller than the sum of its proper divisors (238069085788152).

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

105426820440648 is a wasteful number, since it uses less digits than its factorization.

105426820440648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11009484211 (or 11009484204 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 105426820440648 in words is "one hundred five trillion, four hundred twenty-six billion, eight hundred twenty million, four hundred forty thousand, six hundred forty-eight".