105963224296336 has 135 divisors (see below), whose sum is σ = 231965013238833. Its totient is φ = 46855930872960.

The previous prime is 105963224296309. The next prime is 105963224296339. The reversal of 105963224296336 is 633692422369501.

The square root of 105963224296336 is 10293844.

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

It can be written as a sum of positive squares in only one way, i.e., 94817348256400 + 11145876039936 = 9737420^2 + 3338544^2 .

It is a super-2 number, since 2×105963224296336² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105963224296339) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16758374871 + ... + 16758381193.

Almost surely, 2^{105963224296336} is an apocalyptic number.

105963224296336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105963224296336 is the 10293844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105963224296336

105963224296336 is an abundant number, since it is smaller than the sum of its proper divisors (126001788942497).

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

105963224296336 is an frugal number, since it uses more digits than its factorization.

105963224296336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12750 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 61.

The spelling of 105963224296336 in words is "one hundred five trillion, nine hundred sixty-three billion, two hundred twenty-four million, two hundred ninety-six thousand, three hundred thirty-six".