105134460309 has 6 divisors (see below), whose sum is σ = 151860887126. Its totient is φ = 70089640200.

The previous prime is 105134460269. The next prime is 105134460311. The reversal of 105134460309 is 903064431501.

105134460309 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 44 + 603 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61754735025 + 43379725284 = 248505^2 + 208278^2 .

It is not a de Polignac number, because 105134460309 - 2³³ = 96544525717 is a prime.

It is a super-2 number, since 2×105134460309² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105134460349) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5840803342 + ... + 5840803359.

Almost surely, 2^105134460309 is an apocalyptic number.

It is an amenable number.

105134460309 is a deficient number, since it is larger than the sum of its proper divisors (46726426817).

105134460309 is a wasteful number, since it uses less digits than its factorization.

105134460309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11681606707 (or 11681606704 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 105134460309 in words is "one hundred five billion, one hundred thirty-four million, four hundred sixty thousand, three hundred nine".