105819620864 has 80 divisors (see below), whose sum is σ = 216345349440. Its totient is φ = 51691530240.

The previous prime is 105819620849. The next prime is 105819620869. The reversal of 105819620864 is 468026918501.

It is a super-2 number, since 2×105819620864² (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 (105819620869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4913159 + ... + 4934649.

It is an arithmetic number, because the mean of its divisors is an integer number (2704316868).

Almost surely, 2^105819620864 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 105819620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108172674720).

105819620864 is an abundant number, since it is smaller than the sum of its proper divisors (110525728576).

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

105819620864 is an equidigital number, since it uses as much as digits as its factorization.

105819620864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21731 (or 21715 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 50.

The spelling of 105819620864 in words is "one hundred five billion, eight hundred nineteen million, six hundred twenty thousand, eight hundred sixty-four".