105564754329841 has 3 divisors (see below), whose sum is σ = 105564764604313. Its totient is φ = 105564744055370.

The previous prime is 105564754329833. The next prime is 105564754329851. The reversal of 105564754329841 is 148923457465501.

It is a happy number.

The square root of 105564754329841 is 10274471.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 105564754329841 - 2³ = 105564754329833 is a prime.

It is a super-2 number, since 2×105564754329841² (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 (105564754329851) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5137236 + ... + 15411706.

It is a 1-persistent number, because it is pandigital, but 2⋅105564754329841 = 211129508659682 is not.

Almost surely, 2^{105564754329841} is an apocalyptic number.

105564754329841 is the 10274471-st square number.

105564754329841 is the 5137236-th centered octagonal number.

It is an amenable number.

105564754329841 is a deficient number, since it is larger than the sum of its proper divisors (10274472).

105564754329841 is an frugal number, since it uses more digits than its factorization.

105564754329841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20548942 (or 10274471 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 64.

The spelling of 105564754329841 in words is "one hundred five trillion, five hundred sixty-four billion, seven hundred fifty-four million, three hundred twenty-nine thousand, eight hundred forty-one".