105422297344 has 243 divisors, whose sum is σ = 266261528673. Its totient is φ = 41518503936.

The previous prime is 105422297327. The next prime is 105422297369. The reversal of 105422297344 is 443792224501.

The square root of 105422297344 is 324688.

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., 15595014400 + 89827282944 = 124880^2 + 299712^2 .

It is a super-2 number, since 2×105422297344² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105422297344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 472745617 + ... + 472745839.

Almost surely, 2^105422297344 is an apocalyptic number.

105422297344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105422297344 is the 324688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105422297344

105422297344 is an abundant number, since it is smaller than the sum of its proper divisors (160839231329).

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

105422297344 is an frugal number, since it uses more digits than its factorization.

105422297344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 105422297344 in words is "one hundred five billion, four hundred twenty-two million, two hundred ninety-seven thousand, three hundred forty-four".