10506145113 has 12 divisors (see below), whose sum is σ = 15176436288. Its totient is φ = 7003684440.

The previous prime is 10506145099. The next prime is 10506145147. The reversal of 10506145113 is 31154160501.

10506145113 is a `hidden beast` number, since 1 + 0 + 506 + 1 + 45 + 113 = 666.

10506145113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10506145113 - 2⁶ = 10506145049 is a prime.

It is a super-2 number, since 2×10506145113² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10506145193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257548 + ... + 295538.

It is an arithmetic number, because the mean of its divisors is an integer number (1264703024).

Almost surely, 2^10506145113 is an apocalyptic number.

It is an amenable number.

10506145113 is a deficient number, since it is larger than the sum of its proper divisors (4670291175).

10506145113 is a wasteful number, since it uses less digits than its factorization.

10506145113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68724 (or 68721 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10506145113 in words is "ten billion, five hundred six million, one hundred forty-five thousand, one hundred thirteen".