105712797827230 has 32 divisors (see below), whose sum is σ = 219792170031840. Its totient is φ = 36179781073920.

The previous prime is 105712797827227. The next prime is 105712797827237. The reversal of 105712797827230 is 32728797217501.

It is a super-2 number, since 2×105712797827230² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105712797827237) 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, 28265452095 + ... + 28265455834.

It is an arithmetic number, because the mean of its divisors is an integer number (6868505313495).

Almost surely, 2^{105712797827230} is an apocalyptic number.

105712797827230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105712797827230 is an abundant number, since it is smaller than the sum of its proper divisors (114079372204610).

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

105712797827230 is a wasteful number, since it uses less digits than its factorization.

105712797827230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56530907964.

The product of its (nonzero) digits is 20744640, while the sum is 61.

The spelling of 105712797827230 in words is "one hundred five trillion, seven hundred twelve billion, seven hundred ninety-seven million, eight hundred twenty-seven thousand, two hundred thirty".