10000010000905 has 16 divisors (see below), whose sum is σ = 12324480808464. Its totient is φ = 7783700520960.

The previous prime is 10000010000861. The next prime is 10000010000921. The reversal of 10000010000905 is 50900001000001.

It can be written as a sum of positive squares in 8 ways, for example, as 728838009 + 9999281162896 = 26997^2 + 3162164^2 .

It is not a de Polignac number, because 10000010000905 - 2⁴³ = 1203916978697 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18590209 + ... + 19120561.

It is an arithmetic number, because the mean of its divisors is an integer number (770280050529).

Almost surely, 2^{10000010000905} is an apocalyptic number.

It is an amenable number.

10000010000905 is a deficient number, since it is larger than the sum of its proper divisors (2324470807559).

10000010000905 is a wasteful number, since it uses less digits than its factorization.

10000010000905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632316.

The product of its (nonzero) digits is 45, while the sum is 16.

Adding to 10000010000905 its reverse (50900001000001), we get a palindrome (60900011000906).

The spelling of 10000010000905 in words is "ten trillion, ten million, nine hundred five", and thus it is an aban number.