105956842256 has 20 divisors (see below), whose sum is σ = 205793329500. Its totient is φ = 52848886272.

The previous prime is 105956842237. The next prime is 105956842279. The reversal of 105956842256 is 652248659501.

It can be written as a sum of positive squares in 2 ways, for example, as 72100842256 + 33856000000 = 268516^2 + 184000^2 .

It is a super-2 number, since 2×105956842256² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105956842198 and 105956842207.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8089181 + ... + 8102268.

It is an arithmetic number, because the mean of its divisors is an integer number (10289666475).

Almost surely, 2^105956842256 is an apocalyptic number.

105956842256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105956842256 is a deficient number, since it is larger than the sum of its proper divisors (99836487244).

105956842256 is a wasteful number, since it uses less digits than its factorization.

105956842256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16191866 (or 16191860 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 53.

The spelling of 105956842256 in words is "one hundred five billion, nine hundred fifty-six million, eight hundred forty-two thousand, two hundred fifty-six".