105450564132 has 18 divisors (see below), whose sum is σ = 266555592758. Its totient is φ = 35150188032.

The previous prime is 105450564119. The next prime is 105450564187. The reversal of 105450564132 is 231465054501.

105450564132 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 5 + 0 + 5 + 641 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99588211776 + 5862352356 = 315576^2 + 76566^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105450564132² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2929182337 = 105450564132 / (1 + 0 + 5 + 4 + 5 + 0 + 5 + 6 + 4 + 1 + 3 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1464591133 + ... + 1464591204.

Almost surely, 2^105450564132 is an apocalyptic number.

105450564132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105450564132 is an abundant number, since it is smaller than the sum of its proper divisors (161105028626).

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

105450564132 is a wasteful number, since it uses less digits than its factorization.

105450564132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929182347 (or 2929182342 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 105450564132 in words is "one hundred five billion, four hundred fifty million, five hundred sixty-four thousand, one hundred thirty-two".