105820269993 has 8 divisors (see below), whose sum is σ = 156770770400. Its totient is φ = 70546846644.

The previous prime is 105820269979. The next prime is 105820270001. The reversal of 105820269993 is 399962028501.

It is a happy number.

It is not a de Polignac number, because 105820269993 - 2⁴ = 105820269977 is a prime.

It is a super-2 number, since 2×105820269993² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105820269943) 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 7 ways as a sum of consecutive naturals, for example, 1959634603 + ... + 1959634656.

It is an arithmetic number, because the mean of its divisors is an integer number (19596346300).

Almost surely, 2^105820269993 is an apocalyptic number.

It is an amenable number.

105820269993 is a deficient number, since it is larger than the sum of its proper divisors (50950500407).

105820269993 is an equidigital number, since it uses as much as digits as its factorization.

105820269993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919269268 (or 3919269262 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 105820269993 in words is "one hundred five billion, eight hundred twenty million, two hundred sixty-nine thousand, nine hundred ninety-three".