105849084 has 48 divisors (see below), whose sum is σ = 270547200. Its totient is φ = 31943040.

The previous prime is 105849071. The next prime is 105849169. The reversal of 105849084 is 480948501.

It is a super-2 number, since 2×105849084² = 22408057167278112, 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 15 ways as a sum of consecutive naturals, for example, 33192 + ... + 36240.

It is an arithmetic number, because the mean of its divisors is an integer number (5636400).

Almost surely, 2^105849084 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 105849084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135273600).

105849084 is an abundant number, since it is smaller than the sum of its proper divisors (164698116).

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

105849084 is a wasteful number, since it uses less digits than its factorization.

105849084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 105849084 is about 10288.2984015823. The cubic root of 105849084 is about 473.0376422507.

The spelling of 105849084 in words is "one hundred five million, eight hundred forty-nine thousand, eighty-four".