105341984 has 48 divisors (see below), whose sum is σ = 227979360. Its totient is φ = 47516160.

The previous prime is 105341981. The next prime is 105342011. The reversal of 105341984 is 489143501.

It is a super-2 number, since 2×105341984² = 22193867186112512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105341981) 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, 47852 + ... + 50004.

It is an arithmetic number, because the mean of its divisors is an integer number (4749570).

Almost surely, 2^105341984 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 105341984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113989680).

105341984 is an abundant number, since it is smaller than the sum of its proper divisors (122637376).

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

105341984 is a wasteful number, since it uses less digits than its factorization.

105341984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 105341984 is about 10263.6243111291. The cubic root of 105341984 is about 472.2810257896.

The spelling of 105341984 in words is "one hundred five million, three hundred forty-one thousand, nine hundred eighty-four".