1761116105 has 48 divisors (see below), whose sum is σ = 2642253696. Its totient is φ = 1119444480.

The previous prime is 1761116101. The next prime is 1761116129. The reversal of 1761116105 is 5016111671.

It is not a de Polignac number, because 1761116105 - 2² = 1761116101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1761116101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 275900 + ... + 282210.

It is an arithmetic number, because the mean of its divisors is an integer number (55046952).

Almost surely, 2^1761116105 is an apocalyptic number.

It is an amenable number.

1761116105 is a deficient number, since it is larger than the sum of its proper divisors (881137591).

1761116105 is a wasteful number, since it uses less digits than its factorization.

1761116105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6414 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 29.

The square root of 1761116105 is about 41965.6538731377. The cubic root of 1761116105 is about 1207.6173098939.

Adding to 1761116105 its reverse (5016111671), we get a palindrome (6777227776).

The spelling of 1761116105 in words is "one billion, seven hundred sixty-one million, one hundred sixteen thousand, one hundred five".