1005505106091 has 8 divisors (see below), whose sum is σ = 1340678458320. Its totient is φ = 670334245632.

The previous prime is 1005505106063. The next prime is 1005505106147. The reversal of 1005505106091 is 1906015055001.

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

It is not a de Polignac number, because 1005505106091 - 2¹⁷ = 1005504975019 is a prime.

It is a super-2 number, since 2×1005505106091² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005505106591) 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, 752451 + ... + 1605363.

It is an arithmetic number, because the mean of its divisors is an integer number (167584807290).

Almost surely, 2^{1005505106091} is an apocalyptic number.

1005505106091 is a deficient number, since it is larger than the sum of its proper divisors (335173352229).

1005505106091 is an equidigital number, since it uses as much as digits as its factorization.

1005505106091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245885.

The product of its (nonzero) digits is 6750, while the sum is 33.

The spelling of 1005505106091 in words is "one trillion, five billion, five hundred five million, one hundred six thousand, ninety-one".