105881617163 has 16 divisors (see below), whose sum is σ = 125303328000. Its totient is φ = 87540002592.

The previous prime is 105881617117. The next prime is 105881617211. The reversal of 105881617163 is 361716188501.

It is not a de Polignac number, because 105881617163 - 2¹² = 105881613067 is a prime.

It is a super-2 number, since 2×105881617163² (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 (105881613163) 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, 49073 + ... + 462786.

It is an arithmetic number, because the mean of its divisors is an integer number (7831458000).

Almost surely, 2^105881617163 is an apocalyptic number.

105881617163 is a deficient number, since it is larger than the sum of its proper divisors (19421710837).

105881617163 is a wasteful number, since it uses less digits than its factorization.

105881617163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512914.

The product of its (nonzero) digits is 241920, while the sum is 47.

The spelling of 105881617163 in words is "one hundred five billion, eight hundred eighty-one million, six hundred seventeen thousand, one hundred sixty-three".