105322621307761 has 81 divisors (see below), whose sum is σ = 128418120179937. Its totient is φ = 86275485616320.

The previous prime is 105322621307759. The next prime is 105322621307819. The reversal of 105322621307761 is 167703126223501.

The square root of 105322621307761 is 10262681.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12871627167025 + 92450994140736 = 3587705^2 + 9615144^2 .

It is not a de Polignac number, because 105322621307761 - 2¹ = 105322621307759 is a prime.

It is a super-2 number, since 2×105322621307761² (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 (105322621307741) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 63105224635 + ... + 63105226303.

Almost surely, 2^{105322621307761} is an apocalyptic number.

105322621307761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105322621307761 is the 10262681-st square number.

105322621307761 is the 5131341-st centered octagonal number.

It is an amenable number.

105322621307761 is a deficient number, since it is larger than the sum of its proper divisors (23095498872176).

105322621307761 is an frugal number, since it uses more digits than its factorization.

105322621307761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 105322621307761 in words is "one hundred five trillion, three hundred twenty-two billion, six hundred twenty-one million, three hundred seven thousand, seven hundred sixty-one".