105856526736 has 135 divisors (see below), whose sum is σ = 312883323051. Its totient is φ = 33404951232.

The previous prime is 105856526689. The next prime is 105856526747. The reversal of 105856526736 is 637625658501.

It is a happy number.

The square root of 105856526736 is 325356.

It is a perfect power (a square), and thus also a powerful number.

105856526736 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 565 + 2 + 6 + 73 + 6 = 666.

It is a super-2 number, since 2×105856526736² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74180455 + ... + 74181881.

Almost surely, 2^105856526736 is an apocalyptic number.

105856526736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105856526736 is the 325356-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105856526736

105856526736 is an abundant number, since it is smaller than the sum of its proper divisors (207026796315).

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

105856526736 is an equidigital number, since it uses as much as digits as its factorization.

105856526736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 105856526736 in words is "one hundred five billion, eight hundred fifty-six million, five hundred twenty-six thousand, seven hundred thirty-six".