105938084 has 48 divisors (see below), whose sum is σ = 225292032. Its totient is φ = 42550272.

The previous prime is 105938083. The next prime is 105938087. The reversal of 105938084 is 480839501.

It is a super-2 number, since 2×105938084² = 22445755283182112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105938083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217289 + ... + 217775.

It is an arithmetic number, because the mean of its divisors is an integer number (4693584).

Almost surely, 2^105938084 is an apocalyptic number.

105938084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105938084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112646016).

105938084 is an abundant number, since it is smaller than the sum of its proper divisors (119353948).

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

105938084 is a wasteful number, since it uses less digits than its factorization.

105938084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 105938084 is about 10292.6227949925. The cubic root of 105938084 is about 473.1701849063.

The spelling of 105938084 in words is "one hundred five million, nine hundred thirty-eight thousand, eighty-four".