105010005609 has 16 divisors (see below), whose sum is σ = 159364779840. Its totient is φ = 68299189920.

The previous prime is 105010005593. The next prime is 105010005629. The reversal of 105010005609 is 906500010501.

105010005609 is a `hidden beast` number, since 1 + 0 + 50 + 1 + 0 + 0 + 0 + 5 + 609 = 666.

It is not a de Polignac number, because 105010005609 - 2⁴ = 105010005593 is a prime.

It is a super-2 number, since 2×105010005609² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105010005629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47428887 + ... + 47431100.

It is an arithmetic number, because the mean of its divisors is an integer number (9960298740).

Almost surely, 2^105010005609 is an apocalyptic number.

It is an amenable number.

105010005609 is a deficient number, since it is larger than the sum of its proper divisors (54354774231).

105010005609 is an equidigital number, since it uses as much as digits as its factorization.

105010005609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94860037 (or 94860031 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 105010005609 in words is "one hundred five billion, ten million, five thousand, six hundred nine".