105792323240 has 16 divisors (see below), whose sum is σ = 238032727380. Its totient is φ = 42316929280.

The previous prime is 105792323237. The next prime is 105792323281. The reversal of 105792323240 is 42323297501.

105792323240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 96185579044 + 9606744196 = 310138^2 + 98014^2 .

It is a super-2 number, since 2×105792323240² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105792323194 and 105792323203.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1322404001 + ... + 1322404080.

Almost surely, 2^105792323240 is an apocalyptic number.

105792323240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105792323240 is an abundant number, since it is smaller than the sum of its proper divisors (132240404140).

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

105792323240 is a wasteful number, since it uses less digits than its factorization.

105792323240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644808092 (or 2644808088 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 105792323240 in words is "one hundred five billion, seven hundred ninety-two million, three hundred twenty-three thousand, two hundred forty".