10105113005 has 16 divisors (see below), whose sum is σ = 13064042880. Its totient is φ = 7459307328.

The previous prime is 10105113001. The next prime is 10105113091. The reversal of 10105113005 is 50031150101.

It is a cyclic number.

It is not a de Polignac number, because 10105113005 - 2² = 10105113001 is a prime.

It is a super-2 number, since 2×10105113005² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105113001) 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 15 ways as a sum of consecutive naturals, for example, 143906 + ... + 202284.

It is an arithmetic number, because the mean of its divisors is an integer number (816502680).

Almost surely, 2^10105113005 is an apocalyptic number.

It is an amenable number.

10105113005 is a deficient number, since it is larger than the sum of its proper divisors (2958929875).

10105113005 is a wasteful number, since it uses less digits than its factorization.

10105113005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61060.

The product of its (nonzero) digits is 75, while the sum is 17.

Adding to 10105113005 its reverse (50031150101), we get a palindrome (60136263106).

The spelling of 10105113005 in words is "ten billion, one hundred five million, one hundred thirteen thousand, five".