105734144 has 28 divisors (see below), whose sum is σ = 211471764. Its totient is φ = 52862976.

The previous prime is 105734143. The next prime is 105734147. The reversal of 105734144 is 441437501.

It is a happy number.

It is a super-2 number, since 2×105734144² = 22359418414825472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105734141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1739 + ... + 14645.

It is an arithmetic number, because the mean of its divisors is an integer number (7552563).

Almost surely, 2^105734144 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 105734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105735882).

105734144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105734144 is an frugal number, since it uses more digits than its factorization.

105734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12933 (or 12909 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 105734144 is about 10282.7109265991. The cubic root of 105734144 is about 472.8663586438.

The spelling of 105734144 in words is "one hundred five million, seven hundred thirty-four thousand, one hundred forty-four".