105655026214056 has 256 divisors, whose sum is σ = 292975837643520. Its totient is φ = 31484943360000.

The previous prime is 105655026214019. The next prime is 105655026214081. The reversal of 105655026214056 is 650412620556501.

It is a super-2 number, since 2×105655026214056² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105655026213996 and 105655026214014.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16983605026 + ... + 16983611246.

It is an arithmetic number, because the mean of its divisors is an integer number (1144436865795).

Almost surely, 2^{105655026214056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105655026214056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146487918821760).

105655026214056 is an abundant number, since it is smaller than the sum of its proper divisors (187320811429464).

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

105655026214056 is a wasteful number, since it uses less digits than its factorization.

105655026214056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10556 (or 10552 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 105655026214056 in words is "one hundred five trillion, six hundred fifty-five billion, twenty-six million, two hundred fourteen thousand, fifty-six".