1012105663 has 16 divisors (see below), whose sum is σ = 1050610176. Its totient is φ = 974373120.

The previous prime is 1012105637. The next prime is 1012105687. The reversal of 1012105663 is 3665012101.

It is not a de Polignac number, because 1012105663 - 2¹⁷ = 1011974591 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012105163) 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 15 ways as a sum of consecutive naturals, for example, 1797420 + ... + 1797982.

It is an arithmetic number, because the mean of its divisors is an integer number (65663136).

Almost surely, 2^1012105663 is an apocalyptic number.

1012105663 is a deficient number, since it is larger than the sum of its proper divisors (38504513).

1012105663 is an equidigital number, since it uses as much as digits as its factorization.

1012105663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1012105663 is about 31813.6081417999. The cubic root of 1012105663 is about 1004.0190466247.

Adding to 1012105663 its reverse (3665012101), we get a palindrome (4677117764).

The spelling of 1012105663 in words is "one billion, twelve million, one hundred five thousand, six hundred sixty-three".