105185120261 has 8 divisors (see below), whose sum is σ = 113282727264. Its totient is φ = 97088433840.

The previous prime is 105185120179. The next prime is 105185120273. The reversal of 105185120261 is 162021581501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105185120261 is a prime.

It is a super-2 number, since 2×105185120261² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105185120281) 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, 17006 + ... + 458976.

It is an arithmetic number, because the mean of its divisors is an integer number (14160340908).

Almost surely, 2^105185120261 is an apocalyptic number.

It is an amenable number.

105185120261 is a deficient number, since it is larger than the sum of its proper divisors (8097607003).

105185120261 is a wasteful number, since it uses less digits than its factorization.

105185120261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460291.

The product of its (nonzero) digits is 4800, while the sum is 32.

The spelling of 105185120261 in words is "one hundred five billion, one hundred eighty-five million, one hundred twenty thousand, two hundred sixty-one".