105013043409 has 32 divisors (see below), whose sum is σ = 141636418560. Its totient is φ = 69205640000.

The previous prime is 105013043363. The next prime is 105013043479. The reversal of 105013043409 is 904340310501.

It is a cyclic number.

It is not a de Polignac number, because 105013043409 - 2⁸ = 105013043153 is a prime.

It is a super-2 number, since 2×105013043409² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105013043479) 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 31 ways as a sum of consecutive naturals, for example, 62994394 + ... + 62996060.

It is an arithmetic number, because the mean of its divisors is an integer number (4426138080).

Almost surely, 2^105013043409 is an apocalyptic number.

It is an amenable number.

105013043409 is a deficient number, since it is larger than the sum of its proper divisors (36623375151).

105013043409 is a wasteful number, since it uses less digits than its factorization.

105013043409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501.

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 105013043409 in words is "one hundred five billion, thirteen million, forty-three thousand, four hundred nine".