10106334763 has 16 divisors (see below), whose sum is σ = 11894037760. Its totient is φ = 8407185696.

The previous prime is 10106334737. The next prime is 10106334767. The reversal of 10106334763 is 36743360101.

10106334763 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10106334763 - 2²⁵ = 10072780331 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10106334767) 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, 59673 + ... + 154186.

It is an arithmetic number, because the mean of its divisors is an integer number (743377360).

Almost surely, 2^10106334763 is an apocalyptic number.

10106334763 is a deficient number, since it is larger than the sum of its proper divisors (1787702997).

10106334763 is a wasteful number, since it uses less digits than its factorization.

10106334763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214066.

The product of its (nonzero) digits is 27216, while the sum is 34.

Adding to 10106334763 its reverse (36743360101), we get a palindrome (46849694864).

The spelling of 10106334763 in words is "ten billion, one hundred six million, three hundred thirty-four thousand, seven hundred sixty-three".