105384763648 has 72 divisors (see below), whose sum is σ = 222940535328. Its totient is φ = 49546371072.

The previous prime is 105384763639. The next prime is 105384763661. The reversal of 105384763648 is 846367483501.

It is a super-2 number, since 2×105384763648² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4876515 + ... + 4898077.

It is an arithmetic number, because the mean of its divisors is an integer number (3096396324).

Almost surely, 2^105384763648 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 105384763648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111470267664).

105384763648 is an abundant number, since it is smaller than the sum of its proper divisors (117555771680).

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

105384763648 is a wasteful number, since it uses less digits than its factorization.

105384763648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22719 (or 22705 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 105384763648 in words is "one hundred five billion, three hundred eighty-four million, seven hundred sixty-three thousand, six hundred forty-eight".