9910900991 has 16 divisors (see below), whose sum is σ = 10147378464. Its totient is φ = 9677551104.

The previous prime is 9910900981. The next prime is 9910901017. The reversal of 9910900991 is 1990090199.

It is a cyclic number.

It is not a de Polignac number, because 9910900991 - 2¹⁰ = 9910899967 is a prime.

It is a super-3 number, since 3×9910900991³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9910900981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4429325 + ... + 4431561.

It is an arithmetic number, because the mean of its divisors is an integer number (634211154).

Almost surely, 2^9910900991 is an apocalyptic number.

9910900991 is a deficient number, since it is larger than the sum of its proper divisors (236477473).

9910900991 is a wasteful number, since it uses less digits than its factorization.

9910900991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890.

The product of its (nonzero) digits is 59049, while the sum is 47.

The square root of 9910900991 is about 99553.5081802746. The cubic root of 9910900991 is about 2148.0169919111.

The spelling of 9910900991 in words is "nine billion, nine hundred ten million, nine hundred thousand, nine hundred ninety-one".