9906311077 has 24 divisors (see below), whose sum is σ = 11351121152. Its totient is φ = 8592480000.

The previous prime is 9906311027. The next prime is 9906311081. The reversal of 9906311077 is 7701136099.

9906311077 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 9906311077 - 2¹¹ = 9906309029 is a prime.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9906311027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2819752 + ... + 2823262.

Almost surely, 2^9906311077 is an apocalyptic number.

It is an amenable number.

9906311077 is a deficient number, since it is larger than the sum of its proper divisors (1444810075).

9906311077 is a wasteful number, since it uses less digits than its factorization.

9906311077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 43.

The square root of 9906311077 is about 99530.4530131356. The cubic root of 9906311077 is about 2147.6853457887.

The spelling of 9906311077 in words is "nine billion, nine hundred six million, three hundred eleven thousand, seventy-seven".