9766968101 has 32 divisors (see below), whose sum is σ = 11488573440. Its totient is φ = 8214606400.

The previous prime is 9766968089. The next prime is 9766968131. The reversal of 9766968101 is 1018696679.

9766968101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9766968101 - 2¹⁸ = 9766705957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9766968131) 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 31 ways as a sum of consecutive naturals, for example, 946910 + ... + 957168.

It is an arithmetic number, because the mean of its divisors is an integer number (359017920).

Almost surely, 2^9766968101 is an apocalyptic number.

It is an amenable number.

9766968101 is a deficient number, since it is larger than the sum of its proper divisors (1721605339).

9766968101 is a wasteful number, since it uses less digits than its factorization.

9766968101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10417.

The product of its (nonzero) digits is 979776, while the sum is 53.

The square root of 9766968101 is about 98827.9722598820. The cubic root of 9766968101 is about 2137.5679201244.

The spelling of 9766968101 in words is "nine billion, seven hundred sixty-six million, nine hundred sixty-eight thousand, one hundred one".