105132819609 has 12 divisors (see below), whose sum is σ = 155962801956. Its totient is φ = 68194261152.

The previous prime is 105132819569. The next prime is 105132819709. The reversal of 105132819609 is 906918231501.

105132819609 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 28 + 19 + 609 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50550777225 + 54582042384 = 224835^2 + 233628^2 .

It is not a de Polignac number, because 105132819609 - 2²⁸ = 104864384153 is a prime.

It is a super-2 number, since 2×105132819609² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105132819709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157856754 + ... + 157857419.

It is an arithmetic number, because the mean of its divisors is an integer number (12996900163).

Almost surely, 2^105132819609 is an apocalyptic number.

It is an amenable number.

105132819609 is a deficient number, since it is larger than the sum of its proper divisors (50829982347).

105132819609 is a wasteful number, since it uses less digits than its factorization.

105132819609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315714216 (or 315714213 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 105132819609 in words is "one hundred five billion, one hundred thirty-two million, eight hundred nineteen thousand, six hundred nine".