105819984 has 60 divisors (see below), whose sum is σ = 297534900. Its totient is φ = 35108352.

The previous prime is 105819977. The next prime is 105819991. The reversal of 105819984 is 489918501.

It is an interprime number because it is at equal distance from previous prime (105819977) and next prime (105819991).

It can be written as a sum of positive squares in 2 ways, for example, as 82083600 + 23736384 = 9060^2 + 4872^2 .

It is a super-2 number, since 2×105819984² = 22395738027520512, which 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 11 ways as a sum of consecutive naturals, for example, 31372 + ... + 34580.

It is an arithmetic number, because the mean of its divisors is an integer number (4958915).

Almost surely, 2^105819984 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 105819984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148767450).

105819984 is an abundant number, since it is smaller than the sum of its proper divisors (191714916).

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

105819984 is a wasteful number, since it uses less digits than its factorization.

105819984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 105819984 is about 10286.8840763372. The cubic root of 105819984 is about 472.9942891530.

The spelling of 105819984 in words is "one hundred five million, eight hundred nineteen thousand, nine hundred eighty-four".