910000000091 has 32 divisors (see below), whose sum is σ = 1131448999296. Its totient is φ = 712644480000.

The previous prime is 910000000081. The next prime is 910000000123. The reversal of 910000000091 is 190000000019.

It is a cyclic number.

It is not a de Polignac number, because 910000000091 - 2³⁴ = 892820130907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (910000000031) 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 31 ways as a sum of consecutive naturals, for example, 32531351 + ... + 32559311.

It is an arithmetic number, because the mean of its divisors is an integer number (35357781228).

Almost surely, 2^910000000091 is an apocalyptic number.

910000000091 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

910000000091 is a deficient number, since it is larger than the sum of its proper divisors (221448999205).

910000000091 is a wasteful number, since it uses less digits than its factorization.

910000000091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31623.

The product of its (nonzero) digits is 81, while the sum is 20.

It can be divided in two parts, 9100000000 and 91, that multiplied together give a square (828100000000 = 910000²).

The spelling of 910000000091 in words is "nine hundred ten billion, ninety-one", and thus it is an aban number.