105017126260 has 12 divisors (see below), whose sum is σ = 220535965188. Its totient is φ = 42006850496.

The previous prime is 105017126219. The next prime is 105017126281. The reversal of 105017126260 is 62621710501.

It can be written as a sum of positive squares in 2 ways, for example, as 70881607696 + 34135518564 = 266236^2 + 184758^2 .

It is a super-2 number, since 2×105017126260² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2625428137 + ... + 2625428176.

It is an arithmetic number, because the mean of its divisors is an integer number (18377997099).

Almost surely, 2^105017126260 is an apocalyptic number.

105017126260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105017126260 is an abundant number, since it is smaller than the sum of its proper divisors (115518838928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105017126260 is a wasteful number, since it uses less digits than its factorization.

105017126260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250856322 (or 5250856320 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

Adding to 105017126260 its reverse (62621710501), we get a palindrome (167638836761).

The spelling of 105017126260 in words is "one hundred five billion, seventeen million, one hundred twenty-six thousand, two hundred sixty".