105131413205 has 96 divisors (see below), whose sum is σ = 163809928800. Its totient is φ = 64125831168.

The previous prime is 105131413151. The next prime is 105131413217. The reversal of 105131413205 is 502314131501.

It can be written as a sum of positive squares in 16 ways, for example, as 7483288036 + 97648125169 = 86506^2 + 312487^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105131413205 is a prime.

It is a super-2 number, since 2×105131413205² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 76569899 + ... + 76571271.

It is an arithmetic number, because the mean of its divisors is an integer number (1706353425).

Almost surely, 2^105131413205 is an apocalyptic number.

It is an amenable number.

105131413205 is a deficient number, since it is larger than the sum of its proper divisors (58678515595).

105131413205 is a wasteful number, since it uses less digits than its factorization.

105131413205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 105131413205 its reverse (502314131501), we get a palindrome (607445544706).

The spelling of 105131413205 in words is "one hundred five billion, one hundred thirty-one million, four hundred thirteen thousand, two hundred five".