105734304 has 144 divisors (see below), whose sum is σ = 334623744. Its totient is φ = 31449600.

The previous prime is 105734303. The next prime is 105734327. The reversal of 105734304 is 403437501.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105734304² = 22359486084728832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105734303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115609 + ... + 116519.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 2^105734304 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 105734304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

105734304 is an abundant number, since it is smaller than the sum of its proper divisors (228889440).

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

105734304 is a wasteful number, since it uses less digits than its factorization.

105734304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 105734304 is about 10282.7187066456. The cubic root of 105734304 is about 472.8665971620.

The spelling of 105734304 in words is "one hundred five million, seven hundred thirty-four thousand, three hundred four".