105055610500349 has 8 divisors (see below), whose sum is σ = 105156104085240. Its totient is φ = 104955128441856.

The previous prime is 105055610500301. The next prime is 105055610500361. The reversal of 105055610500349 is 943005016550501.

It can be written as a sum of positive squares in 4 ways, for example, as 5304315672100 + 99751294828249 = 2303110^2 + 9987557^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105055610500349 - 2⁴⁴ = 87463424455933 is a prime.

It is a super-2 number, since 2×105055610500349² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055610500649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15411317 + ... + 21157029.

It is an arithmetic number, because the mean of its divisors is an integer number (13144513010655).

Almost surely, 2^{105055610500349} is an apocalyptic number.

It is an amenable number.

105055610500349 is a deficient number, since it is larger than the sum of its proper divisors (100493584891).

105055610500349 is a wasteful number, since it uses less digits than its factorization.

105055610500349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5763199.

The product of its (nonzero) digits is 405000, while the sum is 44.

The spelling of 105055610500349 in words is "one hundred five trillion, fifty-five billion, six hundred ten million, five hundred thousand, three hundred forty-nine".