966035101 has 8 divisors (see below), whose sum is σ = 984806264. Its totient is φ = 947358720.

The previous prime is 966035089. The next prime is 966035111. The reversal of 966035101 is 101530669.

966035101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 95844100 + 870191001 = 9790^2 + 29499^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 966035101 - 2¹¹ = 966033053 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 (966035111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2940 + ... + 44053.

It is an arithmetic number, because the mean of its divisors is an integer number (123100783).

Almost surely, 2^966035101 is an apocalyptic number.

It is an amenable number.

966035101 is a deficient number, since it is larger than the sum of its proper divisors (18771163).

966035101 is a wasteful number, since it uses less digits than its factorization.

966035101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47391.

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 966035101 is about 31081.1052087920. The cubic root of 966035101 is about 988.5477127922.

The spelling of 966035101 in words is "nine hundred sixty-six million, thirty-five thousand, one hundred one".