100013103145 has 16 divisors (see below), whose sum is σ = 121149317520. Its totient is φ = 79255148544.

The previous prime is 100013103137. The next prime is 100013103163. The reversal of 100013103145 is 541301310001.

It can be written as a sum of positive squares in 8 ways, for example, as 11716763536 + 88296339609 = 108244^2 + 297147^2 .

It is a cyclic number.

It is not a de Polignac number, because 100013103145 - 2³ = 100013103137 is a prime.

It is an unprimeable number.

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, 2188449 + ... + 2233681.

It is an arithmetic number, because the mean of its divisors is an integer number (7571832345).

Almost surely, 2^100013103145 is an apocalyptic number.

It is an amenable number.

100013103145 is a deficient number, since it is larger than the sum of its proper divisors (21136214375).

100013103145 is a wasteful number, since it uses less digits than its factorization.

100013103145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49404.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 100013103145 its reverse (541301310001), we get a palindrome (641314413146).

The spelling of 100013103145 in words is "one hundred billion, thirteen million, one hundred three thousand, one hundred forty-five".