105004727347 has 8 divisors (see below), whose sum is σ = 113095312400. Its totient is φ = 96916042080.

The previous prime is 105004727341. The next prime is 105004727369. The reversal of 105004727347 is 743727400501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105004727347 - 2¹⁵ = 105004694579 is a prime.

It is a super-2 number, since 2×105004727347² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105004727341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359097 + ... + 582202.

It is an arithmetic number, because the mean of its divisors is an integer number (14136914050).

Almost surely, 2^105004727347 is an apocalyptic number.

105004727347 is a deficient number, since it is larger than the sum of its proper divisors (8090585053).

105004727347 is an equidigital number, since it uses as much as digits as its factorization.

105004727347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949893.

The product of its (nonzero) digits is 164640, while the sum is 40.

The spelling of 105004727347 in words is "one hundred five billion, four million, seven hundred twenty-seven thousand, three hundred forty-seven".