105819152382 has 16 divisors (see below), whose sum is σ = 235153672080. Its totient is φ = 35273050776.

The previous prime is 105819152377. The next prime is 105819152389. The reversal of 105819152382 is 283251918501.

105819152382 is a `hidden beast` number, since 10 + 581 + 9 + 1 + 52 + 3 + 8 + 2 = 666.

It is a super-2 number, since 2×105819152382² (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 (105819152389) 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, 979806913 + ... + 979807020.

It is an arithmetic number, because the mean of its divisors is an integer number (14697104505).

Almost surely, 2^105819152382 is an apocalyptic number.

105819152382 is an abundant number, since it is smaller than the sum of its proper divisors (129334519698).

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

105819152382 is a wasteful number, since it uses less digits than its factorization.

105819152382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959613944 (or 1959613938 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 105819152382 in words is "one hundred five billion, eight hundred nineteen million, one hundred fifty-two thousand, three hundred eighty-two".