105452544564 has 36 divisors (see below), whose sum is σ = 273764942724. Its totient is φ = 34200824832.

The previous prime is 105452544469. The next prime is 105452544577. The reversal of 105452544564 is 465445254501.

105452544564 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 52 + 544 + 56 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86499515664 + 18953028900 = 294108^2 + 137670^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105452544564² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39582957 + ... + 39585620.

Almost surely, 2^105452544564 is an apocalyptic number.

It is an amenable number.

105452544564 is an abundant number, since it is smaller than the sum of its proper divisors (168312398160).

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

105452544564 is a wasteful number, since it uses less digits than its factorization.

105452544564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79168624 (or 79168619 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 105452544564 in words is "one hundred five billion, four hundred fifty-two million, five hundred forty-four thousand, five hundred sixty-four".