105768722312 has 36 divisors (see below), whose sum is σ = 218004947685. Its totient is φ = 48072092640.

The previous prime is 105768722209. The next prime is 105768722317. The reversal of 105768722312 is 213227867501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 67198119076 + 38570603236 = 259226^2 + 196394^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=229966.

It is a super-2 number, since 2×105768722312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105768722317) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10113278 + ... + 10123730.

Almost surely, 2^105768722312 is an apocalyptic number.

It is an amenable number.

105768722312 is an abundant number, since it is smaller than the sum of its proper divisors (112236225373).

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

105768722312 is an frugal number, since it uses more digits than its factorization.

105768722312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20934 (or 10466 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 105768722312 in words is "one hundred five billion, seven hundred sixty-eight million, seven hundred twenty-two thousand, three hundred twelve".