10101663 has 48 divisors (see below), whose sum is σ = 17611776. Its totient is φ = 5497920.

The previous prime is 10101659. The next prime is 10101697. The reversal of 10101663 is 36610101.

10101663 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 663 = 666.

It is not a de Polignac number, because 10101663 - 2² = 10101659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101653) 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 47 ways as a sum of consecutive naturals, for example, 60406 + ... + 60572.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 2^10101663 is an apocalyptic number.

10101663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10101663 is a deficient number, since it is larger than the sum of its proper divisors (7510113).

10101663 is a wasteful number, since it uses less digits than its factorization.

10101663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10101663 is about 3178.3113440945. The cubic root of 10101663 is about 216.1710964324.

Adding to 10101663 its reverse (36610101), we get a palindrome (46711764).

The spelling of 10101663 in words is "ten million, one hundred one thousand, six hundred sixty-three".