105655270326020 has 24 divisors (see below), whose sum is σ = 221962839816984. Its totient is φ = 42245580105216.

The previous prime is 105655270326007. The next prime is 105655270326031. The reversal of 105655270326020 is 20623072556501.

It can be written as a sum of positive squares in 4 ways, for example, as 24732399956224 + 80922870369796 = 4973168^2 + 8995714^2 .

It is a super-3 number, since 3×105655270326020³ (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 7 ways as a sum of consecutive naturals, for example, 1032949157 + ... + 1033051436.

It is an arithmetic number, because the mean of its divisors is an integer number (9248451659041).

Almost surely, 2^{105655270326020} is an apocalyptic number.

105655270326020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105655270326020 is an abundant number, since it is smaller than the sum of its proper divisors (116307569490964).

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

105655270326020 is a wasteful number, since it uses less digits than its factorization.

105655270326020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066003159 (or 2066003157 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 44.

The spelling of 105655270326020 in words is "one hundred five trillion, six hundred fifty-five billion, two hundred seventy million, three hundred twenty-six thousand, twenty".