105748434 has 72 divisors (see below), whose sum is σ = 262918656. Its totient is φ = 30637200.

The previous prime is 105748427. The next prime is 105748439. The reversal of 105748434 is 434847501.

105748434 is a `hidden beast` number, since 1 + 0 + 574 + 84 + 3 + 4 = 666.

It is a super-2 number, since 2×105748434² = 22365462586904712, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105748439) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49039 + ... + 51149.

It is an arithmetic number, because the mean of its divisors is an integer number (3651648).

Almost surely, 2^105748434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105748434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131459328).

105748434 is an abundant number, since it is smaller than the sum of its proper divisors (157170222).

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

105748434 is a wasteful number, since it uses less digits than its factorization.

105748434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 105748434 is about 10283.4057587941. The cubic root of 105748434 is about 472.8876603590.

The spelling of 105748434 in words is "one hundred five million, seven hundred forty-eight thousand, four hundred thirty-four".