10123544312505 has 96 divisors (see below), whose sum is σ = 19205958713760. Its totient is φ = 4903118438400.

The previous prime is 10123544312459. The next prime is 10123544312513. The reversal of 10123544312505 is 50521344532101.

10123544312505 is a `hidden beast` number, since 1 + 0 + 12 + 354 + 43 + 1 + 250 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1679312749689 + 8444231562816 = 1295883^2 + 2905896^2 .

It is not a de Polignac number, because 10123544312505 - 2¹⁰ = 10123544311481 is a prime.

It is a super-2 number, since 2×10123544312505² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10123544312505.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8730681 + ... + 9822009.

It is an arithmetic number, because the mean of its divisors is an integer number (200062069935).

Almost surely, 2^{10123544312505} is an apocalyptic number.

10123544312505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10123544312505 is a deficient number, since it is larger than the sum of its proper divisors (9082414401255).

10123544312505 is a wasteful number, since it uses less digits than its factorization.

10123544312505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091611 (or 1091608 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 10123544312505 its reverse (50521344532101), we get a palindrome (60644888844606).

The spelling of 10123544312505 in words is "ten trillion, one hundred twenty-three billion, five hundred forty-four million, three hundred twelve thousand, five hundred five".