105061160993 has 4 divisors (see below), whose sum is σ = 105061871808. Its totient is φ = 105060450180.

The previous prime is 105061160977. The next prime is 105061161061. The reversal of 105061160993 is 399061160501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 105061160993 - 2⁴ = 105061160977 is a prime.

It is a super-4 number, since 4×105061160993⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105061160993.

It is not an unprimeable number, because it can be changed into a prime (105061360993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40973 + ... + 460218.

It is an arithmetic number, because the mean of its divisors is an integer number (26265467952).

Almost surely, 2^105061160993 is an apocalyptic number.

It is an amenable number.

105061160993 is a deficient number, since it is larger than the sum of its proper divisors (710815).

105061160993 is an equidigital number, since it uses as much as digits as its factorization.

105061160993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710814.

The product of its (nonzero) digits is 43740, while the sum is 41.

The spelling of 105061160993 in words is "one hundred five billion, sixty-one million, one hundred sixty thousand, nine hundred ninety-three".