105268471029 has 12 divisors (see below), whose sum is σ = 152707055436. Its totient is φ = 69877781952.

The previous prime is 105268471027. The next prime is 105268471031. The reversal of 105268471029 is 920174862501.

105268471029 is a `hidden beast` number, since 10 + 526 + 8 + 4 + 7 + 102 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (105268471027) and next prime (105268471031).

It can be written as a sum of positive squares in 2 ways, for example, as 34921518129 + 70346952900 = 186873^2 + 265230^2 .

It is not a de Polignac number, because 105268471029 - 2¹ = 105268471027 is a prime.

It is a super-2 number, since 2×105268471029² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105268471027) 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 11 ways as a sum of consecutive naturals, for example, 25097682 + ... + 25101875.

It is an arithmetic number, because the mean of its divisors is an integer number (12725587953).

Almost surely, 2^105268471029 is an apocalyptic number.

It is an amenable number.

105268471029 is a deficient number, since it is larger than the sum of its proper divisors (47438584407).

105268471029 is a wasteful number, since it uses less digits than its factorization.

105268471029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50199796 (or 50199793 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 105268471029 in words is "one hundred five billion, two hundred sixty-eight million, four hundred seventy-one thousand, twenty-nine".