10091012105 has 8 divisors (see below), whose sum is σ = 12110170632. Its totient is φ = 8072172288.

The previous prime is 10091012093. The next prime is 10091012117. The reversal of 10091012105 is 50121019001.

It is an interprime number because it is at equal distance from previous prime (10091012093) and next prime (10091012117).

It can be written as a sum of positive squares in 4 ways, for example, as 159693769 + 9931318336 = 12637^2 + 99656^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10091012105 - 2³² = 5796044809 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3374 + ... + 142103.

It is an arithmetic number, because the mean of its divisors is an integer number (1513771329).

Almost surely, 2^10091012105 is an apocalyptic number.

It is an amenable number.

10091012105 is a deficient number, since it is larger than the sum of its proper divisors (2019158527).

10091012105 is a wasteful number, since it uses less digits than its factorization.

10091012105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159355.

The product of its (nonzero) digits is 90, while the sum is 20.

The spelling of 10091012105 in words is "ten billion, ninety-one million, twelve thousand, one hundred five".