10056110505 has 48 divisors (see below), whose sum is σ = 19152010944. Its totient is φ = 4490156160.

The previous prime is 10056110503. The next prime is 10056110507. The reversal of 10056110505 is 50501165001.

10056110505 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10056110503) and next prime (10056110507).

It is not a de Polignac number, because 10056110505 - 2¹ = 10056110503 is a prime.

It is a super-3 number, since 3×10056110505³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10056110503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127486 + ... + 190695.

It is an arithmetic number, because the mean of its divisors is an integer number (399000228).

Almost surely, 2^10056110505 is an apocalyptic number.

10056110505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10056110505 is a deficient number, since it is larger than the sum of its proper divisors (9095900439).

10056110505 is a wasteful number, since it uses less digits than its factorization.

10056110505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318246 (or 318239 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 10056110505 its reverse (50501165001), we get a palindrome (60557275506).

The spelling of 10056110505 in words is "ten billion, fifty-six million, one hundred ten thousand, five hundred five".