105731004834 has 64 divisors (see below), whose sum is σ = 289178830080. Its totient is φ = 27885098880.

The previous prime is 105731004803. The next prime is 105731004839. The reversal of 105731004834 is 438400137501.

It is a happy number.

105731004834 is a `hidden beast` number, since 1 + 0 + 5 + 73 + 100 + 483 + 4 = 666.

105731004834 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105731004834² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105731004839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10753227 + ... + 10763054.

It is an arithmetic number, because the mean of its divisors is an integer number (4518419220).

Almost surely, 2^105731004834 is an apocalyptic number.

105731004834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105731004834 is an abundant number, since it is smaller than the sum of its proper divisors (183447825246).

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

105731004834 is a wasteful number, since it uses less digits than its factorization.

105731004834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21516312 (or 21516306 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 105731004834 in words is "one hundred five billion, seven hundred thirty-one million, four thousand, eight hundred thirty-four".