105170129841 has 16 divisors (see below), whose sum is σ = 160371126144. Its totient is φ = 60055261824.

The previous prime is 105170129783. The next prime is 105170129851. The reversal of 105170129841 is 148921071501.

It is not a de Polignac number, because 105170129841 - 2⁹ = 105170129329 is a prime.

It is a super-2 number, since 2×105170129841² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105170129841.

It is not an unprimeable number, because it can be changed into a prime (105170129851) 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, 1717326 + ... + 1777511.

It is an arithmetic number, because the mean of its divisors is an integer number (10023195384).

Almost surely, 2^105170129841 is an apocalyptic number.

It is an amenable number.

105170129841 is a deficient number, since it is larger than the sum of its proper divisors (55200996303).

105170129841 is a wasteful number, since it uses less digits than its factorization.

105170129841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496280.

The product of its (nonzero) digits is 20160, while the sum is 39.

The spelling of 105170129841 in words is "one hundred five billion, one hundred seventy million, one hundred twenty-nine thousand, eight hundred forty-one".