10011005505 has 24 divisors (see below), whose sum is σ = 17489052672. Its totient is φ = 5297158944.

The previous prime is 10011005489. The next prime is 10011005519. The reversal of 10011005505 is 50550011001.

10011005505 is a `hidden beast` number, since 1 + 0 + 0 + 110 + 0 + 550 + 5 = 666.

It is not a de Polignac number, because 10011005505 - 2⁴ = 10011005489 is a prime.

It is a super-2 number, since 2×10011005505² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870139 + ... + 881568.

It is an arithmetic number, because the mean of its divisors is an integer number (728710528).

Almost surely, 2^10011005505 is an apocalyptic number.

10011005505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10011005505 is a deficient number, since it is larger than the sum of its proper divisors (7478047167).

10011005505 is a wasteful number, since it uses less digits than its factorization.

10011005505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751845 (or 1751842 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

Adding to 10011005505 its reverse (50550011001), we get a palindrome (60561016506).

The spelling of 10011005505 in words is "ten billion, eleven million, five thousand, five hundred five".