105546364641 has 9 divisors (see below), whose sum is σ = 152457267859. Its totient is φ = 70363593336.

The previous prime is 105546364633. The next prime is 105546364669. The reversal of 105546364641 is 146463645501.

The square root of 105546364641 is 324879.

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

105546364641 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 4 + 636 + 4 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 702515025 + 104843849616 = 26505^2 + 323796^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 105546364641 - 2³ = 105546364633 is a prime.

It is a super-2 number, since 2×105546364641² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105546364621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 920491 + ... + 1028783.

Almost surely, 2^105546364641 is an apocalyptic number.

105546364641 is the 324879-th square number.

105546364641 is the 162440-th centered octagonal number.

It is an amenable number.

105546364641 is a deficient number, since it is larger than the sum of its proper divisors (46910903218).

105546364641 is an frugal number, since it uses more digits than its factorization.

105546364641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216592 (or 108296 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 105546364641 in words is "one hundred five billion, five hundred forty-six million, three hundred sixty-four thousand, six hundred forty-one".