105734000296 has 64 divisors (see below), whose sum is σ = 214089220800. Its totient is φ = 48791232000.

The previous prime is 105734000291. The next prime is 105734000321. The reversal of 105734000296 is 692000437501.

105734000296 is a nontrivial binomial coefficient, being equal to C(459857, 2).

It is a super-2 number, since 2×105734000296² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105734000291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4356531 + ... + 4380733.

It is an arithmetic number, because the mean of its divisors is an integer number (3345144075).

Almost surely, 2^105734000296 is an apocalyptic number.

105734000296 is the 459856-th triangular number.

105734000296 is the 153286-th centered nonagonal number.

It is an amenable number.

105734000296 is an abundant number, since it is smaller than the sum of its proper divisors (108355220504).

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

105734000296 is a wasteful number, since it uses less digits than its factorization.

105734000296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24970 (or 24966 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

Adding to 105734000296 its reverse (692000437501), we get a palindrome (797734437797).

The spelling of 105734000296 in words is "one hundred five billion, seven hundred thirty-four million, two hundred ninety-six", and thus it is an aban number.