105679916381688 has 128 divisors (see below), whose sum is σ = 289512129484800. Its totient is φ = 31880703254400.

The previous prime is 105679916381651. The next prime is 105679916381693. The reversal of 105679916381688 is 886183619976501.

It is a super-2 number, since 2×105679916381688² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58797933 + ... + 60568611.

It is an arithmetic number, because the mean of its divisors is an integer number (2261813511600).

Almost surely, 2^{105679916381688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105679916381688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144756064742400).

105679916381688 is an abundant number, since it is smaller than the sum of its proper divisors (183832213103112).

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

105679916381688 is a wasteful number, since it uses less digits than its factorization.

105679916381688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771713 (or 1771709 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 78.

The spelling of 105679916381688 in words is "one hundred five trillion, six hundred seventy-nine billion, nine hundred sixteen million, three hundred eighty-one thousand, six hundred eighty-eight".