105017318929 has 16 divisors (see below), whose sum is σ = 109954368000. Its totient is φ = 100208107584.

The previous prime is 105017318843. The next prime is 105017318953. The reversal of 105017318929 is 929813710501.

It is not a de Polignac number, because 105017318929 - 2⁷ = 105017318801 is a prime.

It is a super-2 number, since 2×105017318929² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105017318429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314964 + ... + 556090.

It is an arithmetic number, because the mean of its divisors is an integer number (6872148000).

Almost surely, 2^105017318929 is an apocalyptic number.

It is an amenable number.

105017318929 is a deficient number, since it is larger than the sum of its proper divisors (4937049071).

105017318929 is a wasteful number, since it uses less digits than its factorization.

105017318929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241392.

The product of its (nonzero) digits is 136080, while the sum is 46.

The spelling of 105017318929 in words is "one hundred five billion, seventeen million, three hundred eighteen thousand, nine hundred twenty-nine".