10115144505 has 12 divisors (see below), whose sum is σ = 17532917220. Its totient is φ = 5394743712.

The previous prime is 10115144503. The next prime is 10115144579. The reversal of 10115144505 is 50544151101.

10115144505 is a `hidden beast` number, since 1 + 0 + 1 + 15 + 144 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1889380089 + 8225764416 = 43467^2 + 90696^2 .

It is not a de Polignac number, because 10115144505 - 2¹ = 10115144503 is a prime.

It is a super-2 number, since 2×10115144505² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10115144503) 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 11 ways as a sum of consecutive naturals, for example, 112390450 + ... + 112390539.

It is an arithmetic number, because the mean of its divisors is an integer number (1461076435).

Almost surely, 2^10115144505 is an apocalyptic number.

10115144505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10115144505 is a deficient number, since it is larger than the sum of its proper divisors (7417772715).

10115144505 is a wasteful number, since it uses less digits than its factorization.

10115144505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224781000 (or 224780997 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 10115144505 its reverse (50544151101), we get a palindrome (60659295606).

The spelling of 10115144505 in words is "ten billion, one hundred fifteen million, one hundred forty-four thousand, five hundred five".