105683419104 has 96 divisors (see below), whose sum is σ = 309197710080. Its totient is φ = 31410542592.

The previous prime is 105683419091. The next prime is 105683419109. The reversal of 105683419104 is 401914386501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105683419104² (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 (105683419109) 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, 1673124 + ... + 1735139.

It is an arithmetic number, because the mean of its divisors is an integer number (3220809480).

Almost surely, 2^105683419104 is an apocalyptic number.

It is an amenable number.

105683419104 is an abundant number, since it is smaller than the sum of its proper divisors (203514290976).

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

105683419104 is a wasteful number, since it uses less digits than its factorization.

105683419104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408312 (or 3408304 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 105683419104 in words is "one hundred five billion, six hundred eighty-three million, four hundred nineteen thousand, one hundred four".